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Finding the Fourth Proportional to 383,901.60, 575,852.40 and 117,703.20

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Solution

The fourth proportional to 383,901.60, 575,852.40 and 117,703.20 is: 176,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,901.60 : 575,852.40 = 117,703.20 : x
  2. Step 2: Convert to fraction form
    383,901.60/575,852.40 = 117,703.20/x
  3. Step 3: Cross multiply
    383,901.60x = 575,852.40 × 117,703.20
  4. Step 4: Simplify right side
    383,901.60x = 67,779,670,207.68
  5. Step 5: Solve for x
    x = 67,779,670,207.68/383,901.60
  6. Step 6: Final answer
    x = 176,554.80

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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.