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Finding the Fourth Proportional to 411,971, 614,867.70 and 385,066.76

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Solution

The fourth proportional to 411,971, 614,867.70 and 385,066.76 is: 574,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,971 : 614,867.70 = 385,066.76 : x
  2. Step 2: Convert to fraction form
    411,971/614,867.70 = 385,066.76/x
  3. Step 3: Cross multiply
    411,971x = 614,867.70 × 385,066.76
  4. Step 4: Simplify right side
    411,971x = 236,765,111,142.32
  5. Step 5: Solve for x
    x = 236,765,111,142.32/411,971
  6. Step 6: Final answer
    x = 574,713.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.