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Finding the Fourth Proportional to 428,164.16, 590,306.40 and 368,377.02

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Solution

The fourth proportional to 428,164.16, 590,306.40 and 368,377.02 is: 507,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,164.16 : 590,306.40 = 368,377.02 : x
  2. Step 2: Convert to fraction form
    428,164.16/590,306.40 = 368,377.02/x
  3. Step 3: Cross multiply
    428,164.16x = 590,306.40 × 368,377.02
  4. Step 4: Simplify right side
    428,164.16x = 217,455,312,518.93
  5. Step 5: Solve for x
    x = 217,455,312,518.93/428,164.16
  6. Step 6: Final answer
    x = 507,878.37

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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.