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Finding the Fourth Proportional to 473,985.36, 710,978.76 and 189,803.88

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Solution

The fourth proportional to 473,985.36, 710,978.76 and 189,803.88 is: 284,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,985.36 : 710,978.76 = 189,803.88 : x
  2. Step 2: Convert to fraction form
    473,985.36/710,978.76 = 189,803.88/x
  3. Step 3: Cross multiply
    473,985.36x = 710,978.76 × 189,803.88
  4. Step 4: Simplify right side
    473,985.36x = 134,946,527,245.59
  5. Step 5: Solve for x
    x = 134,946,527,245.59/473,985.36
  6. Step 6: Final answer
    x = 284,706.11

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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.