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Finding the Fourth Proportional to 406,398.95, 561,101.76 and 253,498.49

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Solution

The fourth proportional to 406,398.95, 561,101.76 and 253,498.49 is: 349,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,398.95 : 561,101.76 = 253,498.49 : x
  2. Step 2: Convert to fraction form
    406,398.95/561,101.76 = 253,498.49/x
  3. Step 3: Cross multiply
    406,398.95x = 561,101.76 × 253,498.49
  4. Step 4: Simplify right side
    406,398.95x = 142,238,446,090.83
  5. Step 5: Solve for x
    x = 142,238,446,090.83/406,398.95
  6. Step 6: Final answer
    x = 349,997.08

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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.