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Finding the Fourth Proportional to 524,197.32, 786,165.98 and 224,643.93

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Solution

The fourth proportional to 524,197.32, 786,165.98 and 224,643.93 is: 336,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,197.32 : 786,165.98 = 224,643.93 : x
  2. Step 2: Convert to fraction form
    524,197.32/786,165.98 = 224,643.93/x
  3. Step 3: Cross multiply
    524,197.32x = 786,165.98 × 224,643.93
  4. Step 4: Simplify right side
    524,197.32x = 176,607,414,256.28
  5. Step 5: Solve for x
    x = 176,607,414,256.28/524,197.32
  6. Step 6: Final answer
    x = 336,910.18

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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.