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Finding the Fourth Proportional to 517,442.40, 713,685.60 and 456,906.24

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Solution

The fourth proportional to 517,442.40, 713,685.60 and 456,906.24 is: 630,190.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,442.40 : 713,685.60 = 456,906.24 : x
  2. Step 2: Convert to fraction form
    517,442.40/713,685.60 = 456,906.24/x
  3. Step 3: Cross multiply
    517,442.40x = 713,685.60 × 456,906.24
  4. Step 4: Simplify right side
    517,442.40x = 326,087,404,038.14
  5. Step 5: Solve for x
    x = 326,087,404,038.14/517,442.40
  6. Step 6: Final answer
    x = 630,190.73

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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.