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Finding the Fourth Proportional to 463,972, 695,460.48 and 303,987.52

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Solution

The fourth proportional to 463,972, 695,460.48 and 303,987.52 is: 455,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,972 : 695,460.48 = 303,987.52 : x
  2. Step 2: Convert to fraction form
    463,972/695,460.48 = 303,987.52/x
  3. Step 3: Cross multiply
    463,972x = 695,460.48 × 303,987.52
  4. Step 4: Simplify right side
    463,972x = 211,411,306,573.21
  5. Step 5: Solve for x
    x = 211,411,306,573.21/463,972
  6. Step 6: Final answer
    x = 455,655.31

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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.