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Finding the Fourth Proportional to 423,283.02, 584,141.94 and 232,303.20

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Solution

The fourth proportional to 423,283.02, 584,141.94 and 232,303.20 is: 320,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,283.02 : 584,141.94 = 232,303.20 : x
  2. Step 2: Convert to fraction form
    423,283.02/584,141.94 = 232,303.20/x
  3. Step 3: Cross multiply
    423,283.02x = 584,141.94 × 232,303.20
  4. Step 4: Simplify right side
    423,283.02x = 135,698,041,916.21
  5. Step 5: Solve for x
    x = 135,698,041,916.21/423,283.02
  6. Step 6: Final answer
    x = 320,584.66

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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.