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Finding the Fourth Proportional to 765,071.13, 1,055,798.16 and 420,899.67

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Solution

The fourth proportional to 765,071.13, 1,055,798.16 and 420,899.67 is: 580,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,071.13 : 1,055,798.16 = 420,899.67 : x
  2. Step 2: Convert to fraction form
    765,071.13/1,055,798.16 = 420,899.67/x
  3. Step 3: Cross multiply
    765,071.13x = 1,055,798.16 × 420,899.67
  4. Step 4: Simplify right side
    765,071.13x = 444,385,095,552.23
  5. Step 5: Solve for x
    x = 444,385,095,552.23/765,071.13
  6. Step 6: Final answer
    x = 580,841.54

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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.