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Finding the Fourth Proportional to 502,102.08, 692,915.04 and 275,762.16

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Solution

The fourth proportional to 502,102.08, 692,915.04 and 275,762.16 is: 380,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,102.08 : 692,915.04 = 275,762.16 : x
  2. Step 2: Convert to fraction form
    502,102.08/692,915.04 = 275,762.16/x
  3. Step 3: Cross multiply
    502,102.08x = 692,915.04 × 275,762.16
  4. Step 4: Simplify right side
    502,102.08x = 191,079,748,126.89
  5. Step 5: Solve for x
    x = 191,079,748,126.89/502,102.08
  6. Step 6: Final answer
    x = 380,559.56

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1.5x scale

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.