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Finding the Fourth Proportional to 1,000,502, 1,501,034.16 and 401,883.44

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Solution

The fourth proportional to 1,000,502, 1,501,034.16 and 401,883.44 is: 602,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,502 : 1,501,034.16 = 401,883.44 : x
  2. Step 2: Convert to fraction form
    1,000,502/1,501,034.16 = 401,883.44/x
  3. Step 3: Cross multiply
    1,000,502x = 1,501,034.16 × 401,883.44
  4. Step 4: Simplify right side
    1,000,502x = 603,240,771,778.31
  5. Step 5: Solve for x
    x = 603,240,771,778.31/1,000,502
  6. Step 6: Final answer
    x = 602,938.10

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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.