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Finding the Fourth Proportional to 533,376.05, 735,430.02 and 431,085.20

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Solution

The fourth proportional to 533,376.05, 735,430.02 and 431,085.20 is: 594,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,376.05 : 735,430.02 = 431,085.20 : x
  2. Step 2: Convert to fraction form
    533,376.05/735,430.02 = 431,085.20/x
  3. Step 3: Cross multiply
    533,376.05x = 735,430.02 × 431,085.20
  4. Step 4: Simplify right side
    533,376.05x = 317,032,997,257.70
  5. Step 5: Solve for x
    x = 317,032,997,257.70/533,376.05
  6. Step 6: Final answer
    x = 594,389.26

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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.