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Finding the Fourth Proportional to 415,877.04, 623,854.85 and 116,357.67

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Solution

The fourth proportional to 415,877.04, 623,854.85 and 116,357.67 is: 174,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,877.04 : 623,854.85 = 116,357.67 : x
  2. Step 2: Convert to fraction form
    415,877.04/623,854.85 = 116,357.67/x
  3. Step 3: Cross multiply
    415,877.04x = 623,854.85 × 116,357.67
  4. Step 4: Simplify right side
    415,877.04x = 72,590,296,182.41
  5. Step 5: Solve for x
    x = 72,590,296,182.41/415,877.04
  6. Step 6: Final answer
    x = 174,547.50

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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.