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Finding the Fourth Proportional to 282,969.86, 390,538.06 and 175,574.49

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Solution

The fourth proportional to 282,969.86, 390,538.06 and 175,574.49 is: 242,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,969.86 : 390,538.06 = 175,574.49 : x
  2. Step 2: Convert to fraction form
    282,969.86/390,538.06 = 175,574.49/x
  3. Step 3: Cross multiply
    282,969.86x = 390,538.06 × 175,574.49
  4. Step 4: Simplify right side
    282,969.86x = 68,568,518,806.64
  5. Step 5: Solve for x
    x = 68,568,518,806.64/282,969.86
  6. Step 6: Final answer
    x = 242,317.40

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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.