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Finding the Fourth Proportional to 514,295.33, 709,729.56 and 299,582.96

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Solution

The fourth proportional to 514,295.33, 709,729.56 and 299,582.96 is: 413,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,295.33 : 709,729.56 = 299,582.96 : x
  2. Step 2: Convert to fraction form
    514,295.33/709,729.56 = 299,582.96/x
  3. Step 3: Cross multiply
    514,295.33x = 709,729.56 × 299,582.96
  4. Step 4: Simplify right side
    514,295.33x = 212,622,878,835.65
  5. Step 5: Solve for x
    x = 212,622,878,835.65/514,295.33
  6. Step 6: Final answer
    x = 413,425.65

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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.