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Finding the Fourth Proportional to 295,546.95, 407,779.70 and 180,783.68

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Solution

The fourth proportional to 295,546.95, 407,779.70 and 180,783.68 is: 249,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,546.95 : 407,779.70 = 180,783.68 : x
  2. Step 2: Convert to fraction form
    295,546.95/407,779.70 = 180,783.68/x
  3. Step 3: Cross multiply
    295,546.95x = 407,779.70 × 180,783.68
  4. Step 4: Simplify right side
    295,546.95x = 73,719,911,852.48
  5. Step 5: Solve for x
    x = 73,719,911,852.48/295,546.95
  6. Step 6: Final answer
    x = 249,435.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.