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Finding the Fourth Proportional to 552,533.40, 830,768.40 and 465,928.20

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Solution

The fourth proportional to 552,533.40, 830,768.40 and 465,928.20 is: 700,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,533.40 : 830,768.40 = 465,928.20 : x
  2. Step 2: Convert to fraction form
    552,533.40/830,768.40 = 465,928.20/x
  3. Step 3: Cross multiply
    552,533.40x = 830,768.40 × 465,928.20
  4. Step 4: Simplify right side
    552,533.40x = 387,078,425,228.88
  5. Step 5: Solve for x
    x = 387,078,425,228.88/552,533.40
  6. Step 6: Final answer
    x = 700,552.08

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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.