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Finding the Fourth Proportional to 553,314.08, 830,000.54 and 174,264.46

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Solution

The fourth proportional to 553,314.08, 830,000.54 and 174,264.46 is: 261,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,314.08 : 830,000.54 = 174,264.46 : x
  2. Step 2: Convert to fraction form
    553,314.08/830,000.54 = 174,264.46/x
  3. Step 3: Cross multiply
    553,314.08x = 830,000.54 × 174,264.46
  4. Step 4: Simplify right side
    553,314.08x = 144,639,592,956.49
  5. Step 5: Solve for x
    x = 144,639,592,956.49/553,314.08
  6. Step 6: Final answer
    x = 261,405.95

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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.