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Finding the Fourth Proportional to 522,547.04, 783,721.92 and 202,698.20

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Solution

The fourth proportional to 522,547.04, 783,721.92 and 202,698.20 is: 304,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,547.04 : 783,721.92 = 202,698.20 : x
  2. Step 2: Convert to fraction form
    522,547.04/783,721.92 = 202,698.20/x
  3. Step 3: Cross multiply
    522,547.04x = 783,721.92 × 202,698.20
  4. Step 4: Simplify right side
    522,547.04x = 158,859,022,484.54
  5. Step 5: Solve for x
    x = 158,859,022,484.54/522,547.04
  6. Step 6: Final answer
    x = 304,009.04

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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.