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Finding the Fourth Proportional to 473,362.15, 710,049.51 and 157,819.16

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Solution

The fourth proportional to 473,362.15, 710,049.51 and 157,819.16 is: 236,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,362.15 : 710,049.51 = 157,819.16 : x
  2. Step 2: Convert to fraction form
    473,362.15/710,049.51 = 157,819.16/x
  3. Step 3: Cross multiply
    473,362.15x = 710,049.51 × 157,819.16
  4. Step 4: Simplify right side
    473,362.15x = 112,059,417,226.61
  5. Step 5: Solve for x
    x = 112,059,417,226.61/473,362.15
  6. Step 6: Final answer
    x = 236,730.84

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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.