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Finding the Fourth Proportional to 431,134.40, 646,701.60 and 400,030.40

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Solution

The fourth proportional to 431,134.40, 646,701.60 and 400,030.40 is: 600,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,134.40 : 646,701.60 = 400,030.40 : x
  2. Step 2: Convert to fraction form
    431,134.40/646,701.60 = 400,030.40/x
  3. Step 3: Cross multiply
    431,134.40x = 646,701.60 × 400,030.40
  4. Step 4: Simplify right side
    431,134.40x = 258,700,299,728.64
  5. Step 5: Solve for x
    x = 258,700,299,728.64/431,134.40
  6. Step 6: Final answer
    x = 600,045.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.