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Finding the Fourth Proportional to 469,012.53, 700,086.44 and 402,877.65

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Solution

The fourth proportional to 469,012.53, 700,086.44 and 402,877.65 is: 601,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,012.53 : 700,086.44 = 402,877.65 : x
  2. Step 2: Convert to fraction form
    469,012.53/700,086.44 = 402,877.65/x
  3. Step 3: Cross multiply
    469,012.53x = 700,086.44 × 402,877.65
  4. Step 4: Simplify right side
    469,012.53x = 282,049,183,376.58
  5. Step 5: Solve for x
    x = 282,049,183,376.58/469,012.53
  6. Step 6: Final answer
    x = 601,368.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.