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Finding the Fourth Proportional to 460,894.16, 693,831.14 and 414,547.88

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Solution

The fourth proportional to 460,894.16, 693,831.14 and 414,547.88 is: 624,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,894.16 : 693,831.14 = 414,547.88 : x
  2. Step 2: Convert to fraction form
    460,894.16/693,831.14 = 414,547.88/x
  3. Step 3: Cross multiply
    460,894.16x = 693,831.14 × 414,547.88
  4. Step 4: Simplify right side
    460,894.16x = 287,626,228,164.98
  5. Step 5: Solve for x
    x = 287,626,228,164.98/460,894.16
  6. Step 6: Final answer
    x = 624,061.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.