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Finding the Fourth Proportional to 415,199.58, 572,856.90 and 233,848.14

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Solution

The fourth proportional to 415,199.58, 572,856.90 and 233,848.14 is: 322,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,199.58 : 572,856.90 = 233,848.14 : x
  2. Step 2: Convert to fraction form
    415,199.58/572,856.90 = 233,848.14/x
  3. Step 3: Cross multiply
    415,199.58x = 572,856.90 × 233,848.14
  4. Step 4: Simplify right side
    415,199.58x = 133,961,520,551.17
  5. Step 5: Solve for x
    x = 133,961,520,551.17/415,199.58
  6. Step 6: Final answer
    x = 322,643.68

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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.