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Finding the Fourth Proportional to 473,898.16, 710,883.98 and 158,356.20

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Solution

The fourth proportional to 473,898.16, 710,883.98 and 158,356.20 is: 237,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,898.16 : 710,883.98 = 158,356.20 : x
  2. Step 2: Convert to fraction form
    473,898.16/710,883.98 = 158,356.20/x
  3. Step 3: Cross multiply
    473,898.16x = 710,883.98 × 158,356.20
  4. Step 4: Simplify right side
    473,898.16x = 112,572,885,713.68
  5. Step 5: Solve for x
    x = 112,572,885,713.68/473,898.16
  6. Step 6: Final answer
    x = 237,546.58

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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.