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Finding the Fourth Proportional to 601,658.76, 830,312.10 and 343,577.76

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Solution

The fourth proportional to 601,658.76, 830,312.10 and 343,577.76 is: 474,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,658.76 : 830,312.10 = 343,577.76 : x
  2. Step 2: Convert to fraction form
    601,658.76/830,312.10 = 343,577.76/x
  3. Step 3: Cross multiply
    601,658.76x = 830,312.10 × 343,577.76
  4. Step 4: Simplify right side
    601,658.76x = 285,276,771,418.90
  5. Step 5: Solve for x
    x = 285,276,771,418.90/601,658.76
  6. Step 6: Final answer
    x = 474,150.45

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1.5x scale

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.