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Finding the Fourth Proportional to 477,811.64, 716,080.48 and 177,990.35

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Solution

The fourth proportional to 477,811.64, 716,080.48 and 177,990.35 is: 266,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,811.64 : 716,080.48 = 177,990.35 : x
  2. Step 2: Convert to fraction form
    477,811.64/716,080.48 = 177,990.35/x
  3. Step 3: Cross multiply
    477,811.64x = 716,080.48 × 177,990.35
  4. Step 4: Simplify right side
    477,811.64x = 127,455,411,237.99
  5. Step 5: Solve for x
    x = 127,455,411,237.99/477,811.64
  6. Step 6: Final answer
    x = 266,748.23

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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.