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Finding the Fourth Proportional to 553,719.20, 830,060.40 and 433,709.60

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Solution

The fourth proportional to 553,719.20, 830,060.40 and 433,709.60 is: 650,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,719.20 : 830,060.40 = 433,709.60 : x
  2. Step 2: Convert to fraction form
    553,719.20/830,060.40 = 433,709.60/x
  3. Step 3: Cross multiply
    553,719.20x = 830,060.40 × 433,709.60
  4. Step 4: Simplify right side
    553,719.20x = 360,005,164,059.84
  5. Step 5: Solve for x
    x = 360,005,164,059.84/553,719.20
  6. Step 6: Final answer
    x = 650,158.35

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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.