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Finding the Fourth Proportional to 476,373.75, 714,746.93 and 209,946.93

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Solution

The fourth proportional to 476,373.75, 714,746.93 and 209,946.93 is: 315,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,373.75 : 714,746.93 = 209,946.93 : x
  2. Step 2: Convert to fraction form
    476,373.75/714,746.93 = 209,946.93/x
  3. Step 3: Cross multiply
    476,373.75x = 714,746.93 × 209,946.93
  4. Step 4: Simplify right side
    476,373.75x = 150,058,922,630.69
  5. Step 5: Solve for x
    x = 150,058,922,630.69/476,373.75
  6. Step 6: Final answer
    x = 315,002.50

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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.