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Finding the Fourth Proportional to 514,021.76, 709,403.04 and 296,238.08

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Solution

The fourth proportional to 514,021.76, 709,403.04 and 296,238.08 is: 408,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,021.76 : 709,403.04 = 296,238.08 : x
  2. Step 2: Convert to fraction form
    514,021.76/709,403.04 = 296,238.08/x
  3. Step 3: Cross multiply
    514,021.76x = 709,403.04 × 296,238.08
  4. Step 4: Simplify right side
    514,021.76x = 210,152,194,515.76
  5. Step 5: Solve for x
    x = 210,152,194,515.76/514,021.76
  6. Step 6: Final answer
    x = 408,839.10

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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.