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Finding the Fourth Proportional to 315,726.27, 473,435.90 and 105,293.13

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Solution

The fourth proportional to 315,726.27, 473,435.90 and 105,293.13 is: 157,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,726.27 : 473,435.90 = 105,293.13 : x
  2. Step 2: Convert to fraction form
    315,726.27/473,435.90 = 105,293.13/x
  3. Step 3: Cross multiply
    315,726.27x = 473,435.90 × 105,293.13
  4. Step 4: Simplify right side
    315,726.27x = 49,849,547,765.37
  5. Step 5: Solve for x
    x = 49,849,547,765.37/315,726.27
  6. Step 6: Final answer
    x = 157,888.50

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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.