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Finding the Fourth Proportional to 364,454.16, 546,661.80 and 98,210.40

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Solution

The fourth proportional to 364,454.16, 546,661.80 and 98,210.40 is: 147,310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,454.16 : 546,661.80 = 98,210.40 : x
  2. Step 2: Convert to fraction form
    364,454.16/546,661.80 = 98,210.40/x
  3. Step 3: Cross multiply
    364,454.16x = 546,661.80 × 98,210.40
  4. Step 4: Simplify right side
    364,454.16x = 53,687,874,042.72
  5. Step 5: Solve for x
    x = 53,687,874,042.72/364,454.16
  6. Step 6: Final answer
    x = 147,310.36

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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.