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Finding the Fourth Proportional to 553,416.16, 830,240.88 and 179,410

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Solution

The fourth proportional to 553,416.16, 830,240.88 and 179,410 is: 269,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,416.16 : 830,240.88 = 179,410 : x
  2. Step 2: Convert to fraction form
    553,416.16/830,240.88 = 179,410/x
  3. Step 3: Cross multiply
    553,416.16x = 830,240.88 × 179,410
  4. Step 4: Simplify right side
    553,416.16x = 148,953,516,280.80
  5. Step 5: Solve for x
    x = 148,953,516,280.80/553,416.16
  6. Step 6: Final answer
    x = 269,152.81

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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.