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Finding the Fourth Proportional to 286,047.40, 429,071.10 and 72,814.90

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Solution

The fourth proportional to 286,047.40, 429,071.10 and 72,814.90 is: 109,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,047.40 : 429,071.10 = 72,814.90 : x
  2. Step 2: Convert to fraction form
    286,047.40/429,071.10 = 72,814.90/x
  3. Step 3: Cross multiply
    286,047.40x = 429,071.10 × 72,814.90
  4. Step 4: Simplify right side
    286,047.40x = 31,242,769,239.39
  5. Step 5: Solve for x
    x = 31,242,769,239.39/286,047.40
  6. Step 6: Final answer
    x = 109,222.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.