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Finding the Fourth Proportional to 514,759.80, 710,368.62 and 288,407.16

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Solution

The fourth proportional to 514,759.80, 710,368.62 and 288,407.16 is: 398,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,759.80 : 710,368.62 = 288,407.16 : x
  2. Step 2: Convert to fraction form
    514,759.80/710,368.62 = 288,407.16/x
  3. Step 3: Cross multiply
    514,759.80x = 710,368.62 × 288,407.16
  4. Step 4: Simplify right side
    514,759.80x = 204,875,396,247.32
  5. Step 5: Solve for x
    x = 204,875,396,247.32/514,759.80
  6. Step 6: Final answer
    x = 398,001.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.