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Finding the Fourth Proportional to 586,166.40, 822,499.20 and 586,166.40

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Solution

The fourth proportional to 586,166.40, 822,499.20 and 586,166.40 is: 822,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,166.40 : 822,499.20 = 586,166.40 : x
  2. Step 2: Convert to fraction form
    586,166.40/822,499.20 = 586,166.40/x
  3. Step 3: Cross multiply
    586,166.40x = 822,499.20 × 586,166.40
  4. Step 4: Simplify right side
    586,166.40x = 482,121,395,066.88
  5. Step 5: Solve for x
    x = 482,121,395,066.88/586,166.40
  6. Step 6: Final answer
    x = 822,499.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.