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Finding the Fourth Proportional to 533,473.58, 736,461.16 and 412,341.32

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Solution

The fourth proportional to 533,473.58, 736,461.16 and 412,341.32 is: 569,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,473.58 : 736,461.16 = 412,341.32 : x
  2. Step 2: Convert to fraction form
    533,473.58/736,461.16 = 412,341.32/x
  3. Step 3: Cross multiply
    533,473.58x = 736,461.16 × 412,341.32
  4. Step 4: Simplify right side
    533,473.58x = 303,673,366,843.13
  5. Step 5: Solve for x
    x = 303,673,366,843.13/533,473.58
  6. Step 6: Final answer
    x = 569,237.87

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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.