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Finding the Fourth Proportional to 678,782.19, 936,689.15 and 407,000.06

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Solution

The fourth proportional to 678,782.19, 936,689.15 and 407,000.06 is: 561,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,782.19 : 936,689.15 = 407,000.06 : x
  2. Step 2: Convert to fraction form
    678,782.19/936,689.15 = 407,000.06/x
  3. Step 3: Cross multiply
    678,782.19x = 936,689.15 × 407,000.06
  4. Step 4: Simplify right side
    678,782.19x = 381,232,533,532.90
  5. Step 5: Solve for x
    x = 381,232,533,532.90/678,782.19
  6. Step 6: Final answer
    x = 561,641.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.