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Finding the Fourth Proportional to 506,715.62, 698,962.91 and 334,635.17

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Solution

The fourth proportional to 506,715.62, 698,962.91 and 334,635.17 is: 461,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,715.62 : 698,962.91 = 334,635.17 : x
  2. Step 2: Convert to fraction form
    506,715.62/698,962.91 = 334,635.17/x
  3. Step 3: Cross multiply
    506,715.62x = 698,962.91 × 334,635.17
  4. Step 4: Simplify right side
    506,715.62x = 233,897,567,043.55
  5. Step 5: Solve for x
    x = 233,897,567,043.55/506,715.62
  6. Step 6: Final answer
    x = 461,595.34

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1.5x scale

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.