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Finding the Fourth Proportional to 472,780, 652,436.40 and 303,014.13

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Solution

The fourth proportional to 472,780, 652,436.40 and 303,014.13 is: 418,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,780 : 652,436.40 = 303,014.13 : x
  2. Step 2: Convert to fraction form
    472,780/652,436.40 = 303,014.13/x
  3. Step 3: Cross multiply
    472,780x = 652,436.40 × 303,014.13
  4. Step 4: Simplify right side
    472,780x = 197,697,444,864.15
  5. Step 5: Solve for x
    x = 197,697,444,864.15/472,780
  6. Step 6: Final answer
    x = 418,159.49

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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.