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Finding the Fourth Proportional to 423,532.95, 584,484.89 and 232,547.10

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Solution

The fourth proportional to 423,532.95, 584,484.89 and 232,547.10 is: 320,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,532.95 : 584,484.89 = 232,547.10 : x
  2. Step 2: Convert to fraction form
    423,532.95/584,484.89 = 232,547.10/x
  3. Step 3: Cross multiply
    423,532.95x = 584,484.89 × 232,547.10
  4. Step 4: Simplify right side
    423,532.95x = 135,920,266,163.32
  5. Step 5: Solve for x
    x = 135,920,266,163.32/423,532.95
  6. Step 6: Final answer
    x = 320,920.17

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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.