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Finding the Fourth Proportional to 343,460, 473,813.52 and 242,913.44

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Solution

The fourth proportional to 343,460, 473,813.52 and 242,913.44 is: 335,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,460 : 473,813.52 = 242,913.44 : x
  2. Step 2: Convert to fraction form
    343,460/473,813.52 = 242,913.44/x
  3. Step 3: Cross multiply
    343,460x = 473,813.52 × 242,913.44
  4. Step 4: Simplify right side
    343,460x = 115,095,672,061.71
  5. Step 5: Solve for x
    x = 115,095,672,061.71/343,460
  6. Step 6: Final answer
    x = 335,106.48

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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.