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Finding the Fourth Proportional to 531,125.85, 732,944.19 and 289,410.51

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Solution

The fourth proportional to 531,125.85, 732,944.19 and 289,410.51 is: 399,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,125.85 : 732,944.19 = 289,410.51 : x
  2. Step 2: Convert to fraction form
    531,125.85/732,944.19 = 289,410.51/x
  3. Step 3: Cross multiply
    531,125.85x = 732,944.19 × 289,410.51
  4. Step 4: Simplify right side
    531,125.85x = 212,121,751,829.44
  5. Step 5: Solve for x
    x = 212,121,751,829.44/531,125.85
  6. Step 6: Final answer
    x = 399,381.34

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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.