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Finding the Fourth Proportional to 455,123.20, 683,246.40 and 286,643.20

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Solution

The fourth proportional to 455,123.20, 683,246.40 and 286,643.20 is: 430,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,123.20 : 683,246.40 = 286,643.20 : x
  2. Step 2: Convert to fraction form
    455,123.20/683,246.40 = 286,643.20/x
  3. Step 3: Cross multiply
    455,123.20x = 683,246.40 × 286,643.20
  4. Step 4: Simplify right side
    455,123.20x = 195,847,934,484.48
  5. Step 5: Solve for x
    x = 195,847,934,484.48/455,123.20
  6. Step 6: Final answer
    x = 430,318.50

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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.