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Finding the Fourth Proportional to 312,509.53, 468,938.04 and 152,587.48

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Solution

The fourth proportional to 312,509.53, 468,938.04 and 152,587.48 is: 228,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,509.53 : 468,938.04 = 152,587.48 : x
  2. Step 2: Convert to fraction form
    312,509.53/468,938.04 = 152,587.48/x
  3. Step 3: Cross multiply
    312,509.53x = 468,938.04 × 152,587.48
  4. Step 4: Simplify right side
    312,509.53x = 71,554,073,799.74
  5. Step 5: Solve for x
    x = 71,554,073,799.74/312,509.53
  6. Step 6: Final answer
    x = 228,966.05

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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.