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Finding the Fourth Proportional to 668,568.90, 922,152.69 and 414,002.10

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Solution

The fourth proportional to 668,568.90, 922,152.69 and 414,002.10 is: 571,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,568.90 : 922,152.69 = 414,002.10 : x
  2. Step 2: Convert to fraction form
    668,568.90/922,152.69 = 414,002.10/x
  3. Step 3: Cross multiply
    668,568.90x = 922,152.69 × 414,002.10
  4. Step 4: Simplify right side
    668,568.90x = 381,773,150,180.65
  5. Step 5: Solve for x
    x = 381,773,150,180.65/668,568.90
  6. Step 6: Final answer
    x = 571,030.38

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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.