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Finding the Fourth Proportional to 348,547.30, 522,810.15 and 99,229.30

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Solution

The fourth proportional to 348,547.30, 522,810.15 and 99,229.30 is: 148,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,547.30 : 522,810.15 = 99,229.30 : x
  2. Step 2: Convert to fraction form
    348,547.30/522,810.15 = 99,229.30/x
  3. Step 3: Cross multiply
    348,547.30x = 522,810.15 × 99,229.30
  4. Step 4: Simplify right side
    348,547.30x = 51,878,085,217.40
  5. Step 5: Solve for x
    x = 51,878,085,217.40/348,547.30
  6. Step 6: Final answer
    x = 148,840.88

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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.