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Finding the Fourth Proportional to 413,499.84, 570,480.48 and 234,548.16

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Solution

The fourth proportional to 413,499.84, 570,480.48 and 234,548.16 is: 323,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,499.84 : 570,480.48 = 234,548.16 : x
  2. Step 2: Convert to fraction form
    413,499.84/570,480.48 = 234,548.16/x
  3. Step 3: Cross multiply
    413,499.84x = 570,480.48 × 234,548.16
  4. Step 4: Simplify right side
    413,499.84x = 133,805,146,899.92
  5. Step 5: Solve for x
    x = 133,805,146,899.92/413,499.84
  6. Step 6: Final answer
    x = 323,591.77

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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.