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Finding the Fourth Proportional to 586,670.64, 809,489.88 and 357,166.32

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Solution

The fourth proportional to 586,670.64, 809,489.88 and 357,166.32 is: 492,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,670.64 : 809,489.88 = 357,166.32 : x
  2. Step 2: Convert to fraction form
    586,670.64/809,489.88 = 357,166.32/x
  3. Step 3: Cross multiply
    586,670.64x = 809,489.88 × 357,166.32
  4. Step 4: Simplify right side
    586,670.64x = 289,122,521,516.84
  5. Step 5: Solve for x
    x = 289,122,521,516.84/586,670.64
  6. Step 6: Final answer
    x = 492,819.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.