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Finding the Fourth Proportional to 343,417.16, 473,915.66 and 190,478.76

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Solution

The fourth proportional to 343,417.16, 473,915.66 and 190,478.76 is: 262,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,417.16 : 473,915.66 = 190,478.76 : x
  2. Step 2: Convert to fraction form
    343,417.16/473,915.66 = 190,478.76/x
  3. Step 3: Cross multiply
    343,417.16x = 473,915.66 × 190,478.76
  4. Step 4: Simplify right side
    343,417.16x = 90,270,867,261.38
  5. Step 5: Solve for x
    x = 90,270,867,261.38/343,417.16
  6. Step 6: Final answer
    x = 262,860.68

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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.