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Finding the Fourth Proportional to 917,141, 1,265,654.58 and 514,733

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Solution

The fourth proportional to 917,141, 1,265,654.58 and 514,733 is: 710,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,141 : 1,265,654.58 = 514,733 : x
  2. Step 2: Convert to fraction form
    917,141/1,265,654.58 = 514,733/x
  3. Step 3: Cross multiply
    917,141x = 1,265,654.58 × 514,733
  4. Step 4: Simplify right side
    917,141x = 651,474,178,927.14
  5. Step 5: Solve for x
    x = 651,474,178,927.14/917,141
  6. Step 6: Final answer
    x = 710,331.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.