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Finding the Fourth Proportional to 364,509.25, 546,792.44 and 98,265.70

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Solution

The fourth proportional to 364,509.25, 546,792.44 and 98,265.70 is: 147,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,509.25 : 546,792.44 = 98,265.70 : x
  2. Step 2: Convert to fraction form
    364,509.25/546,792.44 = 98,265.70/x
  3. Step 3: Cross multiply
    364,509.25x = 546,792.44 × 98,265.70
  4. Step 4: Simplify right side
    364,509.25x = 53,730,941,871.31
  5. Step 5: Solve for x
    x = 53,730,941,871.31/364,509.25
  6. Step 6: Final answer
    x = 147,406.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.