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Finding the Fourth Proportional to 514,083.57, 709,386.06 and 284,632.45

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Solution

The fourth proportional to 514,083.57, 709,386.06 and 284,632.45 is: 392,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,083.57 : 709,386.06 = 284,632.45 : x
  2. Step 2: Convert to fraction form
    514,083.57/709,386.06 = 284,632.45/x
  3. Step 3: Cross multiply
    514,083.57x = 709,386.06 × 284,632.45
  4. Step 4: Simplify right side
    514,083.57x = 201,914,292,253.65
  5. Step 5: Solve for x
    x = 201,914,292,253.65/514,083.57
  6. Step 6: Final answer
    x = 392,765.50

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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.