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Finding the Fourth Proportional to 413,343.16, 570,374.16 and 232,013.53

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Solution

The fourth proportional to 413,343.16, 570,374.16 and 232,013.53 is: 320,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,343.16 : 570,374.16 = 232,013.53 : x
  2. Step 2: Convert to fraction form
    413,343.16/570,374.16 = 232,013.53/x
  3. Step 3: Cross multiply
    413,343.16x = 570,374.16 × 232,013.53
  4. Step 4: Simplify right side
    413,343.16x = 132,334,522,282.39
  5. Step 5: Solve for x
    x = 132,334,522,282.39/413,343.16
  6. Step 6: Final answer
    x = 320,156.56

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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.