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Finding the Fourth Proportional to 473,477.86, 710,368.05 and 169,666.87

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Solution

The fourth proportional to 473,477.86, 710,368.05 and 169,666.87 is: 254,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,477.86 : 710,368.05 = 169,666.87 : x
  2. Step 2: Convert to fraction form
    473,477.86/710,368.05 = 169,666.87/x
  3. Step 3: Cross multiply
    473,477.86x = 710,368.05 × 169,666.87
  4. Step 4: Simplify right side
    473,477.86x = 120,525,923,591.50
  5. Step 5: Solve for x
    x = 120,525,923,591.50/473,477.86
  6. Step 6: Final answer
    x = 254,554.51

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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.