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Finding the Fourth Proportional to 357,703.30, 493,522.90 and 214,411.06

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Solution

The fourth proportional to 357,703.30, 493,522.90 and 214,411.06 is: 295,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,703.30 : 493,522.90 = 214,411.06 : x
  2. Step 2: Convert to fraction form
    357,703.30/493,522.90 = 214,411.06/x
  3. Step 3: Cross multiply
    357,703.30x = 493,522.90 × 214,411.06
  4. Step 4: Simplify right side
    357,703.30x = 105,816,768,123.27
  5. Step 5: Solve for x
    x = 105,816,768,123.27/357,703.30
  6. Step 6: Final answer
    x = 295,822.73

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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.