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Finding the Fourth Proportional to 314,041.78, 433,368.39 and 178,088.14

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Solution

The fourth proportional to 314,041.78, 433,368.39 and 178,088.14 is: 245,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,041.78 : 433,368.39 = 178,088.14 : x
  2. Step 2: Convert to fraction form
    314,041.78/433,368.39 = 178,088.14/x
  3. Step 3: Cross multiply
    314,041.78x = 433,368.39 × 178,088.14
  4. Step 4: Simplify right side
    314,041.78x = 77,177,770,509.89
  5. Step 5: Solve for x
    x = 77,177,770,509.89/314,041.78
  6. Step 6: Final answer
    x = 245,756.38

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1.5x scale

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.