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Finding the Fourth Proportional to 523,980.24, 723,053.88 and 297,582

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Solution

The fourth proportional to 523,980.24, 723,053.88 and 297,582 is: 410,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,980.24 : 723,053.88 = 297,582 : x
  2. Step 2: Convert to fraction form
    523,980.24/723,053.88 = 297,582/x
  3. Step 3: Cross multiply
    523,980.24x = 723,053.88 × 297,582
  4. Step 4: Simplify right side
    523,980.24x = 215,167,819,718.16
  5. Step 5: Solve for x
    x = 215,167,819,718.16/523,980.24
  6. Step 6: Final answer
    x = 410,641.10

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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.