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Finding the Fourth Proportional to 708,529, 977,770.02 and 406,820.20

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Solution

The fourth proportional to 708,529, 977,770.02 and 406,820.20 is: 561,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,529 : 977,770.02 = 406,820.20 : x
  2. Step 2: Convert to fraction form
    708,529/977,770.02 = 406,820.20/x
  3. Step 3: Cross multiply
    708,529x = 977,770.02 × 406,820.20
  4. Step 4: Simplify right side
    708,529x = 397,776,595,090.40
  5. Step 5: Solve for x
    x = 397,776,595,090.40/708,529
  6. Step 6: Final answer
    x = 561,411.88

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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.