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Finding the Fourth Proportional to 604,352.40, 907,228.80 and 324,416.40

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Solution

The fourth proportional to 604,352.40, 907,228.80 and 324,416.40 is: 487,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,352.40 : 907,228.80 = 324,416.40 : x
  2. Step 2: Convert to fraction form
    604,352.40/907,228.80 = 324,416.40/x
  3. Step 3: Cross multiply
    604,352.40x = 907,228.80 × 324,416.40
  4. Step 4: Simplify right side
    604,352.40x = 294,319,901,272.32
  5. Step 5: Solve for x
    x = 294,319,901,272.32/604,352.40
  6. Step 6: Final answer
    x = 487,000.47

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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.