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Finding the Fourth Proportional to 438,315.40, 657,473.10 and 280,851.40

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Solution

The fourth proportional to 438,315.40, 657,473.10 and 280,851.40 is: 421,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,315.40 : 657,473.10 = 280,851.40 : x
  2. Step 2: Convert to fraction form
    438,315.40/657,473.10 = 280,851.40/x
  3. Step 3: Cross multiply
    438,315.40x = 657,473.10 × 280,851.40
  4. Step 4: Simplify right side
    438,315.40x = 184,652,240,597.34
  5. Step 5: Solve for x
    x = 184,652,240,597.34/438,315.40
  6. Step 6: Final answer
    x = 421,277.10

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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.