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Finding the Fourth Proportional to 429,692.16, 593,248.50 and 293,952.36

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Solution

The fourth proportional to 429,692.16, 593,248.50 and 293,952.36 is: 405,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,692.16 : 593,248.50 = 293,952.36 : x
  2. Step 2: Convert to fraction form
    429,692.16/593,248.50 = 293,952.36/x
  3. Step 3: Cross multiply
    429,692.16x = 593,248.50 × 293,952.36
  4. Step 4: Simplify right side
    429,692.16x = 174,386,796,641.46
  5. Step 5: Solve for x
    x = 174,386,796,641.46/429,692.16
  6. Step 6: Final answer
    x = 405,841.23

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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.