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Finding the Fourth Proportional to 610,714.20, 916,071.30 and 421,757.40

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Solution

The fourth proportional to 610,714.20, 916,071.30 and 421,757.40 is: 632,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,714.20 : 916,071.30 = 421,757.40 : x
  2. Step 2: Convert to fraction form
    610,714.20/916,071.30 = 421,757.40/x
  3. Step 3: Cross multiply
    610,714.20x = 916,071.30 × 421,757.40
  4. Step 4: Simplify right side
    610,714.20x = 386,359,849,702.62
  5. Step 5: Solve for x
    x = 386,359,849,702.62/610,714.20
  6. Step 6: Final answer
    x = 632,636.10

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Similar ratio
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1.5x scale

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.