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Finding the Fourth Proportional to 407,566.80, 611,411.64 and 127,106

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Solution

The fourth proportional to 407,566.80, 611,411.64 and 127,106 is: 190,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,566.80 : 611,411.64 = 127,106 : x
  2. Step 2: Convert to fraction form
    407,566.80/611,411.64 = 127,106/x
  3. Step 3: Cross multiply
    407,566.80x = 611,411.64 × 127,106
  4. Step 4: Simplify right side
    407,566.80x = 77,714,087,913.84
  5. Step 5: Solve for x
    x = 77,714,087,913.84/407,566.80
  6. Step 6: Final answer
    x = 190,678.16

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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.