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Finding the Fourth Proportional to 472,905.40, 710,014.20 and 295,758.40

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Solution

The fourth proportional to 472,905.40, 710,014.20 and 295,758.40 is: 444,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,905.40 : 710,014.20 = 295,758.40 : x
  2. Step 2: Convert to fraction form
    472,905.40/710,014.20 = 295,758.40/x
  3. Step 3: Cross multiply
    472,905.40x = 710,014.20 × 295,758.40
  4. Step 4: Simplify right side
    472,905.40x = 209,992,663,769.28
  5. Step 5: Solve for x
    x = 209,992,663,769.28/472,905.40
  6. Step 6: Final answer
    x = 444,047.93

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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.