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Finding the Fourth Proportional to 477,904.20, 716,888.70 and 162,384.90

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Solution

The fourth proportional to 477,904.20, 716,888.70 and 162,384.90 is: 243,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,904.20 : 716,888.70 = 162,384.90 : x
  2. Step 2: Convert to fraction form
    477,904.20/716,888.70 = 162,384.90/x
  3. Step 3: Cross multiply
    477,904.20x = 716,888.70 × 162,384.90
  4. Step 4: Simplify right side
    477,904.20x = 116,411,899,860.63
  5. Step 5: Solve for x
    x = 116,411,899,860.63/477,904.20
  6. Step 6: Final answer
    x = 243,588.36

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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.