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Finding the Fourth Proportional to 473,444.57, 710,168.76 and 118,457.61

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Solution

The fourth proportional to 473,444.57, 710,168.76 and 118,457.61 is: 177,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,444.57 : 710,168.76 = 118,457.61 : x
  2. Step 2: Convert to fraction form
    473,444.57/710,168.76 = 118,457.61/x
  3. Step 3: Cross multiply
    473,444.57x = 710,168.76 × 118,457.61
  4. Step 4: Simplify right side
    473,444.57x = 84,124,894,006.26
  5. Step 5: Solve for x
    x = 84,124,894,006.26/473,444.57
  6. Step 6: Final answer
    x = 177,686.89

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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.