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Finding the Fourth Proportional to 506,312.50, 698,456.50 and 334,048.90

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Solution

The fourth proportional to 506,312.50, 698,456.50 and 334,048.90 is: 460,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,312.50 : 698,456.50 = 334,048.90 : x
  2. Step 2: Convert to fraction form
    506,312.50/698,456.50 = 334,048.90/x
  3. Step 3: Cross multiply
    506,312.50x = 698,456.50 × 334,048.90
  4. Step 4: Simplify right side
    506,312.50x = 233,318,625,522.85
  5. Step 5: Solve for x
    x = 233,318,625,522.85/506,312.50
  6. Step 6: Final answer
    x = 460,819.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.