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Finding the Fourth Proportional to 567,466, 783,108.48 and 312,826.32

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Solution

The fourth proportional to 567,466, 783,108.48 and 312,826.32 is: 431,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,466 : 783,108.48 = 312,826.32 : x
  2. Step 2: Convert to fraction form
    567,466/783,108.48 = 312,826.32/x
  3. Step 3: Cross multiply
    567,466x = 783,108.48 × 312,826.32
  4. Step 4: Simplify right side
    567,466x = 244,976,943,959.19
  5. Step 5: Solve for x
    x = 244,976,943,959.19/567,466
  6. Step 6: Final answer
    x = 431,703.30

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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.