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Finding the Fourth Proportional to 497,297.40, 745,946.10 and 123,320.40

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Solution

The fourth proportional to 497,297.40, 745,946.10 and 123,320.40 is: 184,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,297.40 : 745,946.10 = 123,320.40 : x
  2. Step 2: Convert to fraction form
    497,297.40/745,946.10 = 123,320.40/x
  3. Step 3: Cross multiply
    497,297.40x = 745,946.10 × 123,320.40
  4. Step 4: Simplify right side
    497,297.40x = 91,990,371,430.44
  5. Step 5: Solve for x
    x = 91,990,371,430.44/497,297.40
  6. Step 6: Final answer
    x = 184,980.60

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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.