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Finding the Fourth Proportional to 1,223,302.82, 1,835,180.10 and 402,687.82

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Solution

The fourth proportional to 1,223,302.82, 1,835,180.10 and 402,687.82 is: 604,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,302.82 : 1,835,180.10 = 402,687.82 : x
  2. Step 2: Convert to fraction form
    1,223,302.82/1,835,180.10 = 402,687.82/x
  3. Step 3: Cross multiply
    1,223,302.82x = 1,835,180.10 × 402,687.82
  4. Step 4: Simplify right side
    1,223,302.82x = 739,004,673,776.38
  5. Step 5: Solve for x
    x = 739,004,673,776.38/1,223,302.82
  6. Step 6: Final answer
    x = 604,106.08

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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.