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Finding the Fourth Proportional to 509,131.60, 759,975.32 and 472,126.48

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Solution

The fourth proportional to 509,131.60, 759,975.32 and 472,126.48 is: 704,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,131.60 : 759,975.32 = 472,126.48 : x
  2. Step 2: Convert to fraction form
    509,131.60/759,975.32 = 472,126.48/x
  3. Step 3: Cross multiply
    509,131.60x = 759,975.32 × 472,126.48
  4. Step 4: Simplify right side
    509,131.60x = 358,804,472,718.47
  5. Step 5: Solve for x
    x = 358,804,472,718.47/509,131.60
  6. Step 6: Final answer
    x = 704,738.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.