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Finding the Fourth Proportional to 315,903.66, 473,357.34 and 115,948.95

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Solution

The fourth proportional to 315,903.66, 473,357.34 and 115,948.95 is: 173,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,903.66 : 473,357.34 = 115,948.95 : x
  2. Step 2: Convert to fraction form
    315,903.66/473,357.34 = 115,948.95/x
  3. Step 3: Cross multiply
    315,903.66x = 473,357.34 × 115,948.95
  4. Step 4: Simplify right side
    315,903.66x = 54,885,286,547.79
  5. Step 5: Solve for x
    x = 54,885,286,547.79/315,903.66
  6. Step 6: Final answer
    x = 173,740.58

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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.