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Finding the Fourth Proportional to 292,523, 438,784.50 and 70,907

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Solution

The fourth proportional to 292,523, 438,784.50 and 70,907 is: 106,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,523 : 438,784.50 = 70,907 : x
  2. Step 2: Convert to fraction form
    292,523/438,784.50 = 70,907/x
  3. Step 3: Cross multiply
    292,523x = 438,784.50 × 70,907
  4. Step 4: Simplify right side
    292,523x = 31,112,892,541.50
  5. Step 5: Solve for x
    x = 31,112,892,541.50/292,523
  6. Step 6: Final answer
    x = 106,360.50

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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.