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Finding the Fourth Proportional to 315,417.40, 473,201.52 and 105,057.16

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Solution

The fourth proportional to 315,417.40, 473,201.52 and 105,057.16 is: 157,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,417.40 : 473,201.52 = 105,057.16 : x
  2. Step 2: Convert to fraction form
    315,417.40/473,201.52 = 105,057.16/x
  3. Step 3: Cross multiply
    315,417.40x = 473,201.52 × 105,057.16
  4. Step 4: Simplify right side
    315,417.40x = 49,713,207,798.88
  5. Step 5: Solve for x
    x = 49,713,207,798.88/315,417.40
  6. Step 6: Final answer
    x = 157,610.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.