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Finding the Fourth Proportional to 514,119.04, 709,570.63 and 299,385.71

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Solution

The fourth proportional to 514,119.04, 709,570.63 and 299,385.71 is: 413,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,119.04 : 709,570.63 = 299,385.71 : x
  2. Step 2: Convert to fraction form
    514,119.04/709,570.63 = 299,385.71/x
  3. Step 3: Cross multiply
    514,119.04x = 709,570.63 × 299,385.71
  4. Step 4: Simplify right side
    514,119.04x = 212,435,305,222.27
  5. Step 5: Solve for x
    x = 212,435,305,222.27/514,119.04
  6. Step 6: Final answer
    x = 413,202.57

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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.