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Finding the Fourth Proportional to 473,888.92, 710,870.10 and 158,346.94

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Solution

The fourth proportional to 473,888.92, 710,870.10 and 158,346.94 is: 237,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,888.92 : 710,870.10 = 158,346.94 : x
  2. Step 2: Convert to fraction form
    473,888.92/710,870.10 = 158,346.94/x
  3. Step 3: Cross multiply
    473,888.92x = 710,870.10 × 158,346.94
  4. Step 4: Simplify right side
    473,888.92x = 112,564,105,072.49
  5. Step 5: Solve for x
    x = 112,564,105,072.49/473,888.92
  6. Step 6: Final answer
    x = 237,532.68

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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.