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Finding the Fourth Proportional to 349,064.34, 523,430.40 and 159,468.60

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Solution

The fourth proportional to 349,064.34, 523,430.40 and 159,468.60 is: 239,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,064.34 : 523,430.40 = 159,468.60 : x
  2. Step 2: Convert to fraction form
    349,064.34/523,430.40 = 159,468.60/x
  3. Step 3: Cross multiply
    349,064.34x = 523,430.40 × 159,468.60
  4. Step 4: Simplify right side
    349,064.34x = 83,470,713,085.44
  5. Step 5: Solve for x
    x = 83,470,713,085.44/349,064.34
  6. Step 6: Final answer
    x = 239,127.01

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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.