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Finding the Fourth Proportional to 315,948.20, 473,000.70 and 306,732.20

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Solution

The fourth proportional to 315,948.20, 473,000.70 and 306,732.20 is: 459,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,948.20 : 473,000.70 = 306,732.20 : x
  2. Step 2: Convert to fraction form
    315,948.20/473,000.70 = 306,732.20/x
  3. Step 3: Cross multiply
    315,948.20x = 473,000.70 × 306,732.20
  4. Step 4: Simplify right side
    315,948.20x = 145,084,545,312.54
  5. Step 5: Solve for x
    x = 145,084,545,312.54/315,948.20
  6. Step 6: Final answer
    x = 459,203.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.