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Finding the Fourth Proportional to 532,167.64, 734,402.94 and 290,451.16

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Solution

The fourth proportional to 532,167.64, 734,402.94 and 290,451.16 is: 400,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,167.64 : 734,402.94 = 290,451.16 : x
  2. Step 2: Convert to fraction form
    532,167.64/734,402.94 = 290,451.16/x
  3. Step 3: Cross multiply
    532,167.64x = 734,402.94 × 290,451.16
  4. Step 4: Simplify right side
    532,167.64x = 213,308,185,830.41
  5. Step 5: Solve for x
    x = 213,308,185,830.41/532,167.64
  6. Step 6: Final answer
    x = 400,828.93

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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.