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Finding the Fourth Proportional to 473,878.17, 710,853.98 and 158,336.19

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Solution

The fourth proportional to 473,878.17, 710,853.98 and 158,336.19 is: 237,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,878.17 : 710,853.98 = 158,336.19 : x
  2. Step 2: Convert to fraction form
    473,878.17/710,853.98 = 158,336.19/x
  3. Step 3: Cross multiply
    473,878.17x = 710,853.98 × 158,336.19
  4. Step 4: Simplify right side
    473,878.17x = 112,553,910,047.86
  5. Step 5: Solve for x
    x = 112,553,910,047.86/473,878.17
  6. Step 6: Final answer
    x = 237,516.55

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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.