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Finding the Fourth Proportional to 416,353.50, 624,547.53 and 120,865.50

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Solution

The fourth proportional to 416,353.50, 624,547.53 and 120,865.50 is: 181,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,353.50 : 624,547.53 = 120,865.50 : x
  2. Step 2: Convert to fraction form
    416,353.50/624,547.53 = 120,865.50/x
  3. Step 3: Cross multiply
    416,353.50x = 624,547.53 × 120,865.50
  4. Step 4: Simplify right side
    416,353.50x = 75,486,249,487.22
  5. Step 5: Solve for x
    x = 75,486,249,487.22/416,353.50
  6. Step 6: Final answer
    x = 181,303.27

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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.