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Finding the Fourth Proportional to 315,876.68, 473,903.04 and 175,733.72

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Solution

The fourth proportional to 315,876.68, 473,903.04 and 175,733.72 is: 263,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,876.68 : 473,903.04 = 175,733.72 : x
  2. Step 2: Convert to fraction form
    315,876.68/473,903.04 = 175,733.72/x
  3. Step 3: Cross multiply
    315,876.68x = 473,903.04 × 175,733.72
  4. Step 4: Simplify right side
    315,876.68x = 83,280,744,138.51
  5. Step 5: Solve for x
    x = 83,280,744,138.51/315,876.68
  6. Step 6: Final answer
    x = 263,649.55

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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.