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Finding the Fourth Proportional to 304,592.14, 420,381.12 and 175,505.89

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Solution

The fourth proportional to 304,592.14, 420,381.12 and 175,505.89 is: 242,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,592.14 : 420,381.12 = 175,505.89 : x
  2. Step 2: Convert to fraction form
    304,592.14/420,381.12 = 175,505.89/x
  3. Step 3: Cross multiply
    304,592.14x = 420,381.12 × 175,505.89
  4. Step 4: Simplify right side
    304,592.14x = 73,779,362,604.80
  5. Step 5: Solve for x
    x = 73,779,362,604.80/304,592.14
  6. Step 6: Final answer
    x = 242,223.46

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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.