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Finding the Fourth Proportional to 473,528.49, 710,287.83 and 273,721.74

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Solution

The fourth proportional to 473,528.49, 710,287.83 and 273,721.74 is: 410,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,528.49 : 710,287.83 = 273,721.74 : x
  2. Step 2: Convert to fraction form
    473,528.49/710,287.83 = 273,721.74/x
  3. Step 3: Cross multiply
    473,528.49x = 710,287.83 × 273,721.74
  4. Step 4: Simplify right side
    473,528.49x = 194,421,220,728.42
  5. Step 5: Solve for x
    x = 194,421,220,728.42/473,528.49
  6. Step 6: Final answer
    x = 410,579.77

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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.