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Finding the Fourth Proportional to 520,434.84, 780,120.54 and 295,320

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Solution

The fourth proportional to 520,434.84, 780,120.54 and 295,320 is: 442,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,434.84 : 780,120.54 = 295,320 : x
  2. Step 2: Convert to fraction form
    520,434.84/780,120.54 = 295,320/x
  3. Step 3: Cross multiply
    520,434.84x = 780,120.54 × 295,320
  4. Step 4: Simplify right side
    520,434.84x = 230,385,197,872.80
  5. Step 5: Solve for x
    x = 230,385,197,872.80/520,434.84
  6. Step 6: Final answer
    x = 442,678.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.