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Finding the Fourth Proportional to 772,325.24, 1,065,798.54 and 432,800.12

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Solution

The fourth proportional to 772,325.24, 1,065,798.54 and 432,800.12 is: 597,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,325.24 : 1,065,798.54 = 432,800.12 : x
  2. Step 2: Convert to fraction form
    772,325.24/1,065,798.54 = 432,800.12/x
  3. Step 3: Cross multiply
    772,325.24x = 1,065,798.54 × 432,800.12
  4. Step 4: Simplify right side
    772,325.24x = 461,277,736,007.83
  5. Step 5: Solve for x
    x = 461,277,736,007.83/772,325.24
  6. Step 6: Final answer
    x = 597,258.40

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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.