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Finding the Fourth Proportional to 473,897.16, 710,882.48 and 158,355.20

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Solution

The fourth proportional to 473,897.16, 710,882.48 and 158,355.20 is: 237,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,897.16 : 710,882.48 = 158,355.20 : x
  2. Step 2: Convert to fraction form
    473,897.16/710,882.48 = 158,355.20/x
  3. Step 3: Cross multiply
    473,897.16x = 710,882.48 × 158,355.20
  4. Step 4: Simplify right side
    473,897.16x = 112,571,937,296.90
  5. Step 5: Solve for x
    x = 112,571,937,296.90/473,897.16
  6. Step 6: Final answer
    x = 237,545.08

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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.