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Finding the Fourth Proportional to 525,506.96, 725,158.32 and 296,054.12

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Solution

The fourth proportional to 525,506.96, 725,158.32 and 296,054.12 is: 408,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,506.96 : 725,158.32 = 296,054.12 : x
  2. Step 2: Convert to fraction form
    525,506.96/725,158.32 = 296,054.12/x
  3. Step 3: Cross multiply
    525,506.96x = 725,158.32 × 296,054.12
  4. Step 4: Simplify right side
    525,506.96x = 214,686,108,288.28
  5. Step 5: Solve for x
    x = 214,686,108,288.28/525,506.96
  6. Step 6: Final answer
    x = 408,531.43

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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.