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Finding the Fourth Proportional to 452,448.64, 678,560.82 and 152,922.57

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Solution

The fourth proportional to 452,448.64, 678,560.82 and 152,922.57 is: 229,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,448.64 : 678,560.82 = 152,922.57 : x
  2. Step 2: Convert to fraction form
    452,448.64/678,560.82 = 152,922.57/x
  3. Step 3: Cross multiply
    452,448.64x = 678,560.82 × 152,922.57
  4. Step 4: Simplify right side
    452,448.64x = 103,767,264,495.71
  5. Step 5: Solve for x
    x = 103,767,264,495.71/452,448.64
  6. Step 6: Final answer
    x = 229,345.95

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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.