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Finding the Fourth Proportional to 656,462.80, 916,948.40 and 656,462.80

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Solution

The fourth proportional to 656,462.80, 916,948.40 and 656,462.80 is: 916,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,462.80 : 916,948.40 = 656,462.80 : x
  2. Step 2: Convert to fraction form
    656,462.80/916,948.40 = 656,462.80/x
  3. Step 3: Cross multiply
    656,462.80x = 916,948.40 × 656,462.80
  4. Step 4: Simplify right side
    656,462.80x = 601,942,514,119.52
  5. Step 5: Solve for x
    x = 601,942,514,119.52/656,462.80
  6. Step 6: Final answer
    x = 916,948.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.