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Finding the Fourth Proportional to 472,920.80, 710,200.40 and 333,656.80

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Solution

The fourth proportional to 472,920.80, 710,200.40 and 333,656.80 is: 501,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,920.80 : 710,200.40 = 333,656.80 : x
  2. Step 2: Convert to fraction form
    472,920.80/710,200.40 = 333,656.80/x
  3. Step 3: Cross multiply
    472,920.80x = 710,200.40 × 333,656.80
  4. Step 4: Simplify right side
    472,920.80x = 236,963,192,822.72
  5. Step 5: Solve for x
    x = 236,963,192,822.72/472,920.80
  6. Step 6: Final answer
    x = 501,063.16

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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.