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Finding the Fourth Proportional to 709,964.72, 1,064,258 and 283,376.96

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Solution

The fourth proportional to 709,964.72, 1,064,258 and 283,376.96 is: 424,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,964.72 : 1,064,258 = 283,376.96 : x
  2. Step 2: Convert to fraction form
    709,964.72/1,064,258 = 283,376.96/x
  3. Step 3: Cross multiply
    709,964.72x = 1,064,258 × 283,376.96
  4. Step 4: Simplify right side
    709,964.72x = 301,586,196,695.68
  5. Step 5: Solve for x
    x = 301,586,196,695.68/709,964.72
  6. Step 6: Final answer
    x = 424,790.40

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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.