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Finding the Fourth Proportional to 532,292.12, 732,698.65 and 464,188.94

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Solution

The fourth proportional to 532,292.12, 732,698.65 and 464,188.94 is: 638,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,292.12 : 732,698.65 = 464,188.94 : x
  2. Step 2: Convert to fraction form
    532,292.12/732,698.65 = 464,188.94/x
  3. Step 3: Cross multiply
    532,292.12x = 732,698.65 × 464,188.94
  4. Step 4: Simplify right side
    532,292.12x = 340,110,614,774.26
  5. Step 5: Solve for x
    x = 340,110,614,774.26/532,292.12
  6. Step 6: Final answer
    x = 638,954.81

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