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Finding the Fourth Proportional to 463,486.10, 695,747.55 and 433,030.10

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Solution

The fourth proportional to 463,486.10, 695,747.55 and 433,030.10 is: 650,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,486.10 : 695,747.55 = 433,030.10 : x
  2. Step 2: Convert to fraction form
    463,486.10/695,747.55 = 433,030.10/x
  3. Step 3: Cross multiply
    463,486.10x = 695,747.55 × 433,030.10
  4. Step 4: Simplify right side
    463,486.10x = 301,279,631,151.26
  5. Step 5: Solve for x
    x = 301,279,631,151.26/463,486.10
  6. Step 6: Final answer
    x = 650,029.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.