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Finding the Fourth Proportional to 347,114.88, 520,692.48 and 97,776

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Solution

The fourth proportional to 347,114.88, 520,692.48 and 97,776 is: 146,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,114.88 : 520,692.48 = 97,776 : x
  2. Step 2: Convert to fraction form
    347,114.88/520,692.48 = 97,776/x
  3. Step 3: Cross multiply
    347,114.88x = 520,692.48 × 97,776
  4. Step 4: Simplify right side
    347,114.88x = 50,911,227,924.48
  5. Step 5: Solve for x
    x = 50,911,227,924.48/347,114.88
  6. Step 6: Final answer
    x = 146,669.68

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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.