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Finding the Fourth Proportional to 472,973.80, 710,279.90 and 333,709.80

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Solution

The fourth proportional to 472,973.80, 710,279.90 and 333,709.80 is: 501,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,973.80 : 710,279.90 = 333,709.80 : x
  2. Step 2: Convert to fraction form
    472,973.80/710,279.90 = 333,709.80/x
  3. Step 3: Cross multiply
    472,973.80x = 710,279.90 × 333,709.80
  4. Step 4: Simplify right side
    472,973.80x = 237,027,363,373.02
  5. Step 5: Solve for x
    x = 237,027,363,373.02/472,973.80
  6. Step 6: Final answer
    x = 501,142.69

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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.