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Finding the Fourth Proportional to 317,094.40, 475,641.60 and 130,009.60

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Solution

The fourth proportional to 317,094.40, 475,641.60 and 130,009.60 is: 195,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,094.40 : 475,641.60 = 130,009.60 : x
  2. Step 2: Convert to fraction form
    317,094.40/475,641.60 = 130,009.60/x
  3. Step 3: Cross multiply
    317,094.40x = 475,641.60 × 130,009.60
  4. Step 4: Simplify right side
    317,094.40x = 61,837,974,159.36
  5. Step 5: Solve for x
    x = 61,837,974,159.36/317,094.40
  6. Step 6: Final answer
    x = 195,014.40

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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.