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Finding the Fourth Proportional to 500,953.12, 751,242.72 and 201,332.32

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Solution

The fourth proportional to 500,953.12, 751,242.72 and 201,332.32 is: 301,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,953.12 : 751,242.72 = 201,332.32 : x
  2. Step 2: Convert to fraction form
    500,953.12/751,242.72 = 201,332.32/x
  3. Step 3: Cross multiply
    500,953.12x = 751,242.72 × 201,332.32
  4. Step 4: Simplify right side
    500,953.12x = 151,249,439,700.71
  5. Step 5: Solve for x
    x = 151,249,439,700.71/500,953.12
  6. Step 6: Final answer
    x = 301,923.34

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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.