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Finding the Fourth Proportional to 661,775.60, 992,663.40 and 409,833.20

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Solution

The fourth proportional to 661,775.60, 992,663.40 and 409,833.20 is: 614,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,775.60 : 992,663.40 = 409,833.20 : x
  2. Step 2: Convert to fraction form
    661,775.60/992,663.40 = 409,833.20/x
  3. Step 3: Cross multiply
    661,775.60x = 992,663.40 × 409,833.20
  4. Step 4: Simplify right side
    661,775.60x = 406,826,417,744.88
  5. Step 5: Solve for x
    x = 406,826,417,744.88/661,775.60
  6. Step 6: Final answer
    x = 614,749.80

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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.