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Finding the Fourth Proportional to 553,383.20, 830,074.80 and 460,071.20

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Solution

The fourth proportional to 553,383.20, 830,074.80 and 460,071.20 is: 690,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,383.20 : 830,074.80 = 460,071.20 : x
  2. Step 2: Convert to fraction form
    553,383.20/830,074.80 = 460,071.20/x
  3. Step 3: Cross multiply
    553,383.20x = 830,074.80 × 460,071.20
  4. Step 4: Simplify right side
    553,383.20x = 381,893,509,325.76
  5. Step 5: Solve for x
    x = 381,893,509,325.76/553,383.20
  6. Step 6: Final answer
    x = 690,106.80

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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.