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Finding the Fourth Proportional to 532,098.72, 734,567.13 and 410,968.08

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Solution

The fourth proportional to 532,098.72, 734,567.13 and 410,968.08 is: 567,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,098.72 : 734,567.13 = 410,968.08 : x
  2. Step 2: Convert to fraction form
    532,098.72/734,567.13 = 410,968.08/x
  3. Step 3: Cross multiply
    532,098.72x = 734,567.13 × 410,968.08
  4. Step 4: Simplify right side
    532,098.72x = 301,883,643,047.21
  5. Step 5: Solve for x
    x = 301,883,643,047.21/532,098.72
  6. Step 6: Final answer
    x = 567,345.18

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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.