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Finding the Fourth Proportional to 423,072.95, 583,830.65 and 232,084.67

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Solution

The fourth proportional to 423,072.95, 583,830.65 and 232,084.67 is: 320,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,072.95 : 583,830.65 = 232,084.67 : x
  2. Step 2: Convert to fraction form
    423,072.95/583,830.65 = 232,084.67/x
  3. Step 3: Cross multiply
    423,072.95x = 583,830.65 × 232,084.67
  4. Step 4: Simplify right side
    423,072.95x = 135,498,141,402.19
  5. Step 5: Solve for x
    x = 135,498,141,402.19/423,072.95
  6. Step 6: Final answer
    x = 320,271.35

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Why These Related Problems?

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