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Finding the Fourth Proportional to 616,533.20, 924,216.60 and 364,007.60

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Solution

The fourth proportional to 616,533.20, 924,216.60 and 364,007.60 is: 545,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,533.20 : 924,216.60 = 364,007.60 : x
  2. Step 2: Convert to fraction form
    616,533.20/924,216.60 = 364,007.60/x
  3. Step 3: Cross multiply
    616,533.20x = 924,216.60 × 364,007.60
  4. Step 4: Simplify right side
    616,533.20x = 336,421,866,446.16
  5. Step 5: Solve for x
    x = 336,421,866,446.16/616,533.20
  6. Step 6: Final answer
    x = 545,667.07

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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.