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Finding the Fourth Proportional to 435,784.80, 652,802.40 and 294,067.20

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Solution

The fourth proportional to 435,784.80, 652,802.40 and 294,067.20 is: 440,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,784.80 : 652,802.40 = 294,067.20 : x
  2. Step 2: Convert to fraction form
    435,784.80/652,802.40 = 294,067.20/x
  3. Step 3: Cross multiply
    435,784.80x = 652,802.40 × 294,067.20
  4. Step 4: Simplify right side
    435,784.80x = 191,967,773,921.28
  5. Step 5: Solve for x
    x = 191,967,773,921.28/435,784.80
  6. Step 6: Final answer
    x = 440,510.49

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Why These Related Problems?

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