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Finding the Fourth Proportional to 713,461.56, 1,070,211.81 and 208,010.32

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Solution

The fourth proportional to 713,461.56, 1,070,211.81 and 208,010.32 is: 312,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,461.56 : 1,070,211.81 = 208,010.32 : x
  2. Step 2: Convert to fraction form
    713,461.56/1,070,211.81 = 208,010.32/x
  3. Step 3: Cross multiply
    713,461.56x = 1,070,211.81 × 208,010.32
  4. Step 4: Simplify right side
    713,461.56x = 222,615,095,714.82
  5. Step 5: Solve for x
    x = 222,615,095,714.82/713,461.56
  6. Step 6: Final answer
    x = 312,021.15

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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.