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Finding the Fourth Proportional to 775,211.40, 1,069,802.10 and 435,659.40

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Solution

The fourth proportional to 775,211.40, 1,069,802.10 and 435,659.40 is: 601,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,211.40 : 1,069,802.10 = 435,659.40 : x
  2. Step 2: Convert to fraction form
    775,211.40/1,069,802.10 = 435,659.40/x
  3. Step 3: Cross multiply
    775,211.40x = 1,069,802.10 × 435,659.40
  4. Step 4: Simplify right side
    775,211.40x = 466,069,341,004.74
  5. Step 5: Solve for x
    x = 466,069,341,004.74/775,211.40
  6. Step 6: Final answer
    x = 601,215.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.