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Finding the Fourth Proportional to 524,200.50, 723,397.50 and 297,889.74

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Solution

The fourth proportional to 524,200.50, 723,397.50 and 297,889.74 is: 411,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,200.50 : 723,397.50 = 297,889.74 : x
  2. Step 2: Convert to fraction form
    524,200.50/723,397.50 = 297,889.74/x
  3. Step 3: Cross multiply
    524,200.50x = 723,397.50 × 297,889.74
  4. Step 4: Simplify right side
    524,200.50x = 215,492,693,191.65
  5. Step 5: Solve for x
    x = 215,492,693,191.65/524,200.50
  6. Step 6: Final answer
    x = 411,088.30

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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.