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Finding the Fourth Proportional to 472,352.47, 708,681.71 and 282,783.19

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Solution

The fourth proportional to 472,352.47, 708,681.71 and 282,783.19 is: 424,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,352.47 : 708,681.71 = 282,783.19 : x
  2. Step 2: Convert to fraction form
    472,352.47/708,681.71 = 282,783.19/x
  3. Step 3: Cross multiply
    472,352.47x = 708,681.71 × 282,783.19
  4. Step 4: Simplify right side
    472,352.47x = 200,403,274,648.46
  5. Step 5: Solve for x
    x = 200,403,274,648.46/472,352.47
  6. Step 6: Final answer
    x = 424,266.38

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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.