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Finding the Fourth Proportional to 750,668, 1,035,929.14 and 448,862

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Solution

The fourth proportional to 750,668, 1,035,929.14 and 448,862 is: 619,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,668 : 1,035,929.14 = 448,862 : x
  2. Step 2: Convert to fraction form
    750,668/1,035,929.14 = 448,862/x
  3. Step 3: Cross multiply
    750,668x = 1,035,929.14 × 448,862
  4. Step 4: Simplify right side
    750,668x = 464,989,225,638.68
  5. Step 5: Solve for x
    x = 464,989,225,638.68/750,668
  6. Step 6: Final answer
    x = 619,433.93

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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.