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Finding the Fourth Proportional to 749,796, 1,034,718.48 and 410,264.25

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Solution

The fourth proportional to 749,796, 1,034,718.48 and 410,264.25 is: 566,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,796 : 1,034,718.48 = 410,264.25 : x
  2. Step 2: Convert to fraction form
    749,796/1,034,718.48 = 410,264.25/x
  3. Step 3: Cross multiply
    749,796x = 1,034,718.48 × 410,264.25
  4. Step 4: Simplify right side
    749,796x = 424,508,001,158.34
  5. Step 5: Solve for x
    x = 424,508,001,158.34/749,796
  6. Step 6: Final answer
    x = 566,164.67

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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.