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Finding the Fourth Proportional to 429,219, 592,322.22 and 278,317.08

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Solution

The fourth proportional to 429,219, 592,322.22 and 278,317.08 is: 384,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,219 : 592,322.22 = 278,317.08 : x
  2. Step 2: Convert to fraction form
    429,219/592,322.22 = 278,317.08/x
  3. Step 3: Cross multiply
    429,219x = 592,322.22 × 278,317.08
  4. Step 4: Simplify right side
    429,219x = 164,853,390,689.52
  5. Step 5: Solve for x
    x = 164,853,390,689.52/429,219
  6. Step 6: Final answer
    x = 384,077.57

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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.