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Finding the Fourth Proportional to 458,957.04, 688,705.26 and 192,697.08

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Solution

The fourth proportional to 458,957.04, 688,705.26 and 192,697.08 is: 289,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,957.04 : 688,705.26 = 192,697.08 : x
  2. Step 2: Convert to fraction form
    458,957.04/688,705.26 = 192,697.08/x
  3. Step 3: Cross multiply
    458,957.04x = 688,705.26 × 192,697.08
  4. Step 4: Simplify right side
    458,957.04x = 132,711,492,582.64
  5. Step 5: Solve for x
    x = 132,711,492,582.64/458,957.04
  6. Step 6: Final answer
    x = 289,158.86

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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.