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Finding the Fourth Proportional to 415,526.42, 623,308.74 and 127,317.42

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Solution

The fourth proportional to 415,526.42, 623,308.74 and 127,317.42 is: 190,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,526.42 : 623,308.74 = 127,317.42 : x
  2. Step 2: Convert to fraction form
    415,526.42/623,308.74 = 127,317.42/x
  3. Step 3: Cross multiply
    415,526.42x = 623,308.74 × 127,317.42
  4. Step 4: Simplify right side
    415,526.42x = 79,358,060,162.81
  5. Step 5: Solve for x
    x = 79,358,060,162.81/415,526.42
  6. Step 6: Final answer
    x = 190,981.98

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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.