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Finding the Fourth Proportional to 522,547.26, 783,822.11 and 143,473.18

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Solution

The fourth proportional to 522,547.26, 783,822.11 and 143,473.18 is: 215,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,547.26 : 783,822.11 = 143,473.18 : x
  2. Step 2: Convert to fraction form
    522,547.26/783,822.11 = 143,473.18/x
  3. Step 3: Cross multiply
    522,547.26x = 783,822.11 × 143,473.18
  4. Step 4: Simplify right side
    522,547.26x = 112,457,452,014.47
  5. Step 5: Solve for x
    x = 112,457,452,014.47/522,547.26
  6. Step 6: Final answer
    x = 215,210.11

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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.