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Finding the Fourth Proportional to 601,360.06, 829,681.62 and 410,041.30

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Solution

The fourth proportional to 601,360.06, 829,681.62 and 410,041.30 is: 565,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,360.06 : 829,681.62 = 410,041.30 : x
  2. Step 2: Convert to fraction form
    601,360.06/829,681.62 = 410,041.30/x
  3. Step 3: Cross multiply
    601,360.06x = 829,681.62 × 410,041.30
  4. Step 4: Simplify right side
    601,360.06x = 340,203,730,050.91
  5. Step 5: Solve for x
    x = 340,203,730,050.91/601,360.06
  6. Step 6: Final answer
    x = 565,723.85

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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.