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Finding the Fourth Proportional to 455,121.20, 683,243.40 and 286,641.20

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Solution

The fourth proportional to 455,121.20, 683,243.40 and 286,641.20 is: 430,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,121.20 : 683,243.40 = 286,641.20 : x
  2. Step 2: Convert to fraction form
    455,121.20/683,243.40 = 286,641.20/x
  3. Step 3: Cross multiply
    455,121.20x = 683,243.40 × 286,641.20
  4. Step 4: Simplify right side
    455,121.20x = 195,845,708,068.08
  5. Step 5: Solve for x
    x = 195,845,708,068.08/455,121.20
  6. Step 6: Final answer
    x = 430,315.50

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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.