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Finding the Fourth Proportional to 521,407, 719,541.66 and 282,943

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Solution

The fourth proportional to 521,407, 719,541.66 and 282,943 is: 390,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,407 : 719,541.66 = 282,943 : x
  2. Step 2: Convert to fraction form
    521,407/719,541.66 = 282,943/x
  3. Step 3: Cross multiply
    521,407x = 719,541.66 × 282,943
  4. Step 4: Simplify right side
    521,407x = 203,589,275,905.38
  5. Step 5: Solve for x
    x = 203,589,275,905.38/521,407
  6. Step 6: Final answer
    x = 390,461.34

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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.