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Finding the Fourth Proportional to 295,443.51, 407,706.50 and 180,713.72

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Solution

The fourth proportional to 295,443.51, 407,706.50 and 180,713.72 is: 249,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,443.51 : 407,706.50 = 180,713.72 : x
  2. Step 2: Convert to fraction form
    295,443.51/407,706.50 = 180,713.72/x
  3. Step 3: Cross multiply
    295,443.51x = 407,706.50 × 180,713.72
  4. Step 4: Simplify right side
    295,443.51x = 73,678,159,754.23
  5. Step 5: Solve for x
    x = 73,678,159,754.23/295,443.51
  6. Step 6: Final answer
    x = 249,381.55

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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.