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Finding the Fourth Proportional to 334,802.22, 502,364.03 and 208,409.46

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Solution

The fourth proportional to 334,802.22, 502,364.03 and 208,409.46 is: 312,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,802.22 : 502,364.03 = 208,409.46 : x
  2. Step 2: Convert to fraction form
    334,802.22/502,364.03 = 208,409.46/x
  3. Step 3: Cross multiply
    334,802.22x = 502,364.03 × 208,409.46
  4. Step 4: Simplify right side
    334,802.22x = 104,697,415,173.68
  5. Step 5: Solve for x
    x = 104,697,415,173.68/334,802.22
  6. Step 6: Final answer
    x = 312,714.22

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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.