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Finding the Fourth Proportional to 473,714.76, 710,585.08 and 158,160.36

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Solution

The fourth proportional to 473,714.76, 710,585.08 and 158,160.36 is: 237,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,714.76 : 710,585.08 = 158,160.36 : x
  2. Step 2: Convert to fraction form
    473,714.76/710,585.08 = 158,160.36/x
  3. Step 3: Cross multiply
    473,714.76x = 710,585.08 × 158,160.36
  4. Step 4: Simplify right side
    473,714.76x = 112,386,392,063.43
  5. Step 5: Solve for x
    x = 112,386,392,063.43/473,714.76
  6. Step 6: Final answer
    x = 237,244.86

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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.