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Finding the Fourth Proportional to 402,269.94, 603,482.76 and 152,932.50

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Solution

The fourth proportional to 402,269.94, 603,482.76 and 152,932.50 is: 229,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,269.94 : 603,482.76 = 152,932.50 : x
  2. Step 2: Convert to fraction form
    402,269.94/603,482.76 = 152,932.50/x
  3. Step 3: Cross multiply
    402,269.94x = 603,482.76 × 152,932.50
  4. Step 4: Simplify right side
    402,269.94x = 92,292,127,193.70
  5. Step 5: Solve for x
    x = 92,292,127,193.70/402,269.94
  6. Step 6: Final answer
    x = 229,428.35

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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.