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Finding the Fourth Proportional to 362,011.34, 497,804.15 and 314,181.65

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Solution

The fourth proportional to 362,011.34, 497,804.15 and 314,181.65 is: 432,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,011.34 : 497,804.15 = 314,181.65 : x
  2. Step 2: Convert to fraction form
    362,011.34/497,804.15 = 314,181.65/x
  3. Step 3: Cross multiply
    362,011.34x = 497,804.15 × 314,181.65
  4. Step 4: Simplify right side
    362,011.34x = 156,400,931,253.81
  5. Step 5: Solve for x
    x = 156,400,931,253.81/362,011.34
  6. Step 6: Final answer
    x = 432,033.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.