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Finding the Fourth Proportional to 362,013.48, 497,807.08 and 314,183.78

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Solution

The fourth proportional to 362,013.48, 497,807.08 and 314,183.78 is: 432,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,013.48 : 497,807.08 = 314,183.78 : x
  2. Step 2: Convert to fraction form
    362,013.48/497,807.08 = 314,183.78/x
  3. Step 3: Cross multiply
    362,013.48x = 497,807.08 × 314,183.78
  4. Step 4: Simplify right side
    362,013.48x = 156,402,910,105.16
  5. Step 5: Solve for x
    x = 156,402,910,105.16/362,013.48
  6. Step 6: Final answer
    x = 432,036.15

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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.