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Finding the Fourth Proportional to 310,312.20, 465,554.70 and 152,545.80

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Solution

The fourth proportional to 310,312.20, 465,554.70 and 152,545.80 is: 228,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,312.20 : 465,554.70 = 152,545.80 : x
  2. Step 2: Convert to fraction form
    310,312.20/465,554.70 = 152,545.80/x
  3. Step 3: Cross multiply
    310,312.20x = 465,554.70 × 152,545.80
  4. Step 4: Simplify right side
    310,312.20x = 71,018,414,155.26
  5. Step 5: Solve for x
    x = 71,018,414,155.26/310,312.20
  6. Step 6: Final answer
    x = 228,861.17

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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.