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Finding the Fourth Proportional to 477,656.42, 716,458.71 and 145,206.50

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Solution

The fourth proportional to 477,656.42, 716,458.71 and 145,206.50 is: 217,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,656.42 : 716,458.71 = 145,206.50 : x
  2. Step 2: Convert to fraction form
    477,656.42/716,458.71 = 145,206.50/x
  3. Step 3: Cross multiply
    477,656.42x = 716,458.71 × 145,206.50
  4. Step 4: Simplify right side
    477,656.42x = 104,034,461,673.62
  5. Step 5: Solve for x
    x = 104,034,461,673.62/477,656.42
  6. Step 6: Final answer
    x = 217,801.87

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