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Finding the Fourth Proportional to 653,256.86, 901,464 and 362,887.26

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Solution

The fourth proportional to 653,256.86, 901,464 and 362,887.26 is: 500,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,256.86 : 901,464 = 362,887.26 : x
  2. Step 2: Convert to fraction form
    653,256.86/901,464 = 362,887.26/x
  3. Step 3: Cross multiply
    653,256.86x = 901,464 × 362,887.26
  4. Step 4: Simplify right side
    653,256.86x = 327,129,800,948.64
  5. Step 5: Solve for x
    x = 327,129,800,948.64/653,256.86
  6. Step 6: Final answer
    x = 500,767.49

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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.