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Finding the Fourth Proportional to 533,193.48, 735,784.66 and 315,543.24

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Solution

The fourth proportional to 533,193.48, 735,784.66 and 315,543.24 is: 435,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,193.48 : 735,784.66 = 315,543.24 : x
  2. Step 2: Convert to fraction form
    533,193.48/735,784.66 = 315,543.24/x
  3. Step 3: Cross multiply
    533,193.48x = 735,784.66 × 315,543.24
  4. Step 4: Simplify right side
    533,193.48x = 232,171,875,558.70
  5. Step 5: Solve for x
    x = 232,171,875,558.70/533,193.48
  6. Step 6: Final answer
    x = 435,436.45

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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.