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Finding the Fourth Proportional to 310,574.17, 465,970.56 and 152,913.34

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Solution

The fourth proportional to 310,574.17, 465,970.56 and 152,913.34 is: 229,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,574.17 : 465,970.56 = 152,913.34 : x
  2. Step 2: Convert to fraction form
    310,574.17/465,970.56 = 152,913.34/x
  3. Step 3: Cross multiply
    310,574.17x = 465,970.56 × 152,913.34
  4. Step 4: Simplify right side
    310,574.17x = 71,253,114,671.27
  5. Step 5: Solve for x
    x = 71,253,114,671.27/310,574.17
  6. Step 6: Final answer
    x = 229,423.83

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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.