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Finding the Fourth Proportional to 586,421.30, 822,648.70 and 586,421.30

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Solution

The fourth proportional to 586,421.30, 822,648.70 and 586,421.30 is: 822,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,421.30 : 822,648.70 = 586,421.30 : x
  2. Step 2: Convert to fraction form
    586,421.30/822,648.70 = 586,421.30/x
  3. Step 3: Cross multiply
    586,421.30x = 822,648.70 × 586,421.30
  4. Step 4: Simplify right side
    586,421.30x = 482,418,720,097.31
  5. Step 5: Solve for x
    x = 482,418,720,097.31/586,421.30
  6. Step 6: Final answer
    x = 822,648.70

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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.