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Finding the Fourth Proportional to 706,475.20, 1,059,712.80 and 307,307.20

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Solution

The fourth proportional to 706,475.20, 1,059,712.80 and 307,307.20 is: 460,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,475.20 : 1,059,712.80 = 307,307.20 : x
  2. Step 2: Convert to fraction form
    706,475.20/1,059,712.80 = 307,307.20/x
  3. Step 3: Cross multiply
    706,475.20x = 1,059,712.80 × 307,307.20
  4. Step 4: Simplify right side
    706,475.20x = 325,657,373,372.16
  5. Step 5: Solve for x
    x = 325,657,373,372.16/706,475.20
  6. Step 6: Final answer
    x = 460,960.80

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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.