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Finding the Fourth Proportional to 357,898.08, 493,702.16 and 226,836

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Solution

The fourth proportional to 357,898.08, 493,702.16 and 226,836 is: 312,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,898.08 : 493,702.16 = 226,836 : x
  2. Step 2: Convert to fraction form
    357,898.08/493,702.16 = 226,836/x
  3. Step 3: Cross multiply
    357,898.08x = 493,702.16 × 226,836
  4. Step 4: Simplify right side
    357,898.08x = 111,989,423,165.76
  5. Step 5: Solve for x
    x = 111,989,423,165.76/357,898.08
  6. Step 6: Final answer
    x = 312,908.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.