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Finding the Fourth Proportional to 512,438.40, 708,782.40 and 452,822.40

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Solution

The fourth proportional to 512,438.40, 708,782.40 and 452,822.40 is: 626,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,438.40 : 708,782.40 = 452,822.40 : x
  2. Step 2: Convert to fraction form
    512,438.40/708,782.40 = 452,822.40/x
  3. Step 3: Cross multiply
    512,438.40x = 708,782.40 × 452,822.40
  4. Step 4: Simplify right side
    512,438.40x = 320,952,547,445.76
  5. Step 5: Solve for x
    x = 320,952,547,445.76/512,438.40
  6. Step 6: Final answer
    x = 626,324.15

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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.