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Finding the Fourth Proportional to 514,517.40, 710,032.50 and 296,725.14

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Solution

The fourth proportional to 514,517.40, 710,032.50 and 296,725.14 is: 409,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,517.40 : 710,032.50 = 296,725.14 : x
  2. Step 2: Convert to fraction form
    514,517.40/710,032.50 = 296,725.14/x
  3. Step 3: Cross multiply
    514,517.40x = 710,032.50 × 296,725.14
  4. Step 4: Simplify right side
    514,517.40x = 210,684,492,967.05
  5. Step 5: Solve for x
    x = 210,684,492,967.05/514,517.40
  6. Step 6: Final answer
    x = 409,479.82

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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.