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Finding the Fourth Proportional to 742,570.73, 1,024,745.03 and 403,038.98

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Solution

The fourth proportional to 742,570.73, 1,024,745.03 and 403,038.98 is: 556,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,570.73 : 1,024,745.03 = 403,038.98 : x
  2. Step 2: Convert to fraction form
    742,570.73/1,024,745.03 = 403,038.98/x
  3. Step 3: Cross multiply
    742,570.73x = 1,024,745.03 × 403,038.98
  4. Step 4: Simplify right side
    742,570.73x = 413,012,191,651.27
  5. Step 5: Solve for x
    x = 413,012,191,651.27/742,570.73
  6. Step 6: Final answer
    x = 556,192.39

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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.