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Finding the Fourth Proportional to 772,155.20, 1,065,574.17 and 470,349.20

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Solution

The fourth proportional to 772,155.20, 1,065,574.17 and 470,349.20 is: 649,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,155.20 : 1,065,574.17 = 470,349.20 : x
  2. Step 2: Convert to fraction form
    772,155.20/1,065,574.17 = 470,349.20/x
  3. Step 3: Cross multiply
    772,155.20x = 1,065,574.17 × 470,349.20
  4. Step 4: Simplify right side
    772,155.20x = 501,191,953,072.29
  5. Step 5: Solve for x
    x = 501,191,953,072.29/772,155.20
  6. Step 6: Final answer
    x = 649,081.89

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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.