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Finding the Fourth Proportional to 434,476.60, 651,714.90 and 210,009.40

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Solution

The fourth proportional to 434,476.60, 651,714.90 and 210,009.40 is: 315,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,476.60 : 651,714.90 = 210,009.40 : x
  2. Step 2: Convert to fraction form
    434,476.60/651,714.90 = 210,009.40/x
  3. Step 3: Cross multiply
    434,476.60x = 651,714.90 × 210,009.40
  4. Step 4: Simplify right side
    434,476.60x = 136,866,255,120.06
  5. Step 5: Solve for x
    x = 136,866,255,120.06/434,476.60
  6. Step 6: Final answer
    x = 315,014.10

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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.