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Finding the Fourth Proportional to 506,271.46, 759,407.93 and 206,752.04

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Solution

The fourth proportional to 506,271.46, 759,407.93 and 206,752.04 is: 310,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,271.46 : 759,407.93 = 206,752.04 : x
  2. Step 2: Convert to fraction form
    506,271.46/759,407.93 = 206,752.04/x
  3. Step 3: Cross multiply
    506,271.46x = 759,407.93 × 206,752.04
  4. Step 4: Simplify right side
    506,271.46x = 157,009,138,719.68
  5. Step 5: Solve for x
    x = 157,009,138,719.68/506,271.46
  6. Step 6: Final answer
    x = 310,128.36

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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.