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Finding the Fourth Proportional to 292,522, 438,783 and 70,906

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Solution

The fourth proportional to 292,522, 438,783 and 70,906 is: 106,359

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,522 : 438,783 = 70,906 : x
  2. Step 2: Convert to fraction form
    292,522/438,783 = 70,906/x
  3. Step 3: Cross multiply
    292,522x = 438,783 × 70,906
  4. Step 4: Simplify right side
    292,522x = 31,112,347,398
  5. Step 5: Solve for x
    x = 31,112,347,398/292,522
  6. Step 6: Final answer
    x = 106,359

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.