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Finding the Fourth Proportional to 403,212.40, 604,818.60 and 282,943.60

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Solution

The fourth proportional to 403,212.40, 604,818.60 and 282,943.60 is: 424,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,212.40 : 604,818.60 = 282,943.60 : x
  2. Step 2: Convert to fraction form
    403,212.40/604,818.60 = 282,943.60/x
  3. Step 3: Cross multiply
    403,212.40x = 604,818.60 × 282,943.60
  4. Step 4: Simplify right side
    403,212.40x = 171,129,552,030.96
  5. Step 5: Solve for x
    x = 171,129,552,030.96/403,212.40
  6. Step 6: Final answer
    x = 424,415.40

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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.