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Finding the Fourth Proportional to 492,595.29, 737,720.06 and 314,550.81

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Solution

The fourth proportional to 492,595.29, 737,720.06 and 314,550.81 is: 471,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,595.29 : 737,720.06 = 314,550.81 : x
  2. Step 2: Convert to fraction form
    492,595.29/737,720.06 = 314,550.81/x
  3. Step 3: Cross multiply
    492,595.29x = 737,720.06 × 314,550.81
  4. Step 4: Simplify right side
    492,595.29x = 232,050,440,853.50
  5. Step 5: Solve for x
    x = 232,050,440,853.50/492,595.29
  6. Step 6: Final answer
    x = 471,077.26

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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.