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Finding the Fourth Proportional to 460,902.60, 691,353.90 and 334,931.40

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Solution

The fourth proportional to 460,902.60, 691,353.90 and 334,931.40 is: 502,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,902.60 : 691,353.90 = 334,931.40 : x
  2. Step 2: Convert to fraction form
    460,902.60/691,353.90 = 334,931.40/x
  3. Step 3: Cross multiply
    460,902.60x = 691,353.90 × 334,931.40
  4. Step 4: Simplify right side
    460,902.60x = 231,556,129,622.46
  5. Step 5: Solve for x
    x = 231,556,129,622.46/460,902.60
  6. Step 6: Final answer
    x = 502,397.10

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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.