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Finding the Fourth Proportional to 507,013.02, 764,078.46 and 456,462.54

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Solution

The fourth proportional to 507,013.02, 764,078.46 and 456,462.54 is: 687,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,013.02 : 764,078.46 = 456,462.54 : x
  2. Step 2: Convert to fraction form
    507,013.02/764,078.46 = 456,462.54/x
  3. Step 3: Cross multiply
    507,013.02x = 764,078.46 × 456,462.54
  4. Step 4: Simplify right side
    507,013.02x = 348,773,194,610.89
  5. Step 5: Solve for x
    x = 348,773,194,610.89/507,013.02
  6. Step 6: Final answer
    x = 687,897.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.