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Finding the Fourth Proportional to 472,264.12, 651,720.32 and 257,404.20

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Solution

The fourth proportional to 472,264.12, 651,720.32 and 257,404.20 is: 355,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,264.12 : 651,720.32 = 257,404.20 : x
  2. Step 2: Convert to fraction form
    472,264.12/651,720.32 = 257,404.20/x
  3. Step 3: Cross multiply
    472,264.12x = 651,720.32 × 257,404.20
  4. Step 4: Simplify right side
    472,264.12x = 167,755,547,593.34
  5. Step 5: Solve for x
    x = 167,755,547,593.34/472,264.12
  6. Step 6: Final answer
    x = 355,215.53

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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.