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Finding the Fourth Proportional to 710,164, 980,026.27 and 387,874.86

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Solution

The fourth proportional to 710,164, 980,026.27 and 387,874.86 is: 535,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,164 : 980,026.27 = 387,874.86 : x
  2. Step 2: Convert to fraction form
    710,164/980,026.27 = 387,874.86/x
  3. Step 3: Cross multiply
    710,164x = 980,026.27 × 387,874.86
  4. Step 4: Simplify right side
    710,164x = 380,127,552,272.57
  5. Step 5: Solve for x
    x = 380,127,552,272.57/710,164
  6. Step 6: Final answer
    x = 535,267.28

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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.