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Finding the Fourth Proportional to 413,419.90, 570,484.47 and 232,117.60

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Solution

The fourth proportional to 413,419.90, 570,484.47 and 232,117.60 is: 320,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,419.90 : 570,484.47 = 232,117.60 : x
  2. Step 2: Convert to fraction form
    413,419.90/570,484.47 = 232,117.60/x
  3. Step 3: Cross multiply
    413,419.90x = 570,484.47 × 232,117.60
  4. Step 4: Simplify right side
    413,419.90x = 132,419,486,013.67
  5. Step 5: Solve for x
    x = 132,419,486,013.67/413,419.90
  6. Step 6: Final answer
    x = 320,302.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.