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Finding the Fourth Proportional to 429,210, 643,605.48 and 129,633.12

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Solution

The fourth proportional to 429,210, 643,605.48 and 129,633.12 is: 194,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,210 : 643,605.48 = 129,633.12 : x
  2. Step 2: Convert to fraction form
    429,210/643,605.48 = 129,633.12/x
  3. Step 3: Cross multiply
    429,210x = 643,605.48 × 129,633.12
  4. Step 4: Simplify right side
    429,210x = 83,432,586,421.50
  5. Step 5: Solve for x
    x = 83,432,586,421.50/429,210
  6. Step 6: Final answer
    x = 194,386.40

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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.