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Finding the Fourth Proportional to 476,702.61, 714,707.23 and 223,852.81

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Solution

The fourth proportional to 476,702.61, 714,707.23 and 223,852.81 is: 335,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,702.61 : 714,707.23 = 223,852.81 : x
  2. Step 2: Convert to fraction form
    476,702.61/714,707.23 = 223,852.81/x
  3. Step 3: Cross multiply
    476,702.61x = 714,707.23 × 223,852.81
  4. Step 4: Simplify right side
    476,702.61x = 159,989,221,762.82
  5. Step 5: Solve for x
    x = 159,989,221,762.82/476,702.61
  6. Step 6: Final answer
    x = 335,616.42

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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.