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Finding the Fourth Proportional to 452,463.64, 678,583.32 and 152,937.60

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Solution

The fourth proportional to 452,463.64, 678,583.32 and 152,937.60 is: 229,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,463.64 : 678,583.32 = 152,937.60 : x
  2. Step 2: Convert to fraction form
    452,463.64/678,583.32 = 152,937.60/x
  3. Step 3: Cross multiply
    452,463.64x = 678,583.32 × 152,937.60
  4. Step 4: Simplify right side
    452,463.64x = 103,780,904,360.83
  5. Step 5: Solve for x
    x = 103,780,904,360.83/452,463.64
  6. Step 6: Final answer
    x = 229,368.50

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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.