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Finding the Fourth Proportional to 507,776.98, 760,542.34 and 207,346.52

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Solution

The fourth proportional to 507,776.98, 760,542.34 and 207,346.52 is: 310,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,776.98 : 760,542.34 = 207,346.52 : x
  2. Step 2: Convert to fraction form
    507,776.98/760,542.34 = 207,346.52/x
  3. Step 3: Cross multiply
    507,776.98x = 760,542.34 × 207,346.52
  4. Step 4: Simplify right side
    507,776.98x = 157,695,807,511.66
  5. Step 5: Solve for x
    x = 157,695,807,511.66/507,776.98
  6. Step 6: Final answer
    x = 310,561.16

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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.