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Finding the Fourth Proportional to 413,502.84, 570,484.62 and 234,551.16

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Solution

The fourth proportional to 413,502.84, 570,484.62 and 234,551.16 is: 323,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,502.84 : 570,484.62 = 234,551.16 : x
  2. Step 2: Convert to fraction form
    413,502.84/570,484.62 = 234,551.16/x
  3. Step 3: Cross multiply
    413,502.84x = 570,484.62 × 234,551.16
  4. Step 4: Simplify right side
    413,502.84x = 133,807,829,383.16
  5. Step 5: Solve for x
    x = 133,807,829,383.16/413,502.84
  6. Step 6: Final answer
    x = 323,595.91

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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.