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Finding the Fourth Proportional to 546,802.14, 820,203.58 and 186,975.64

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Solution

The fourth proportional to 546,802.14, 820,203.58 and 186,975.64 is: 280,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,802.14 : 820,203.58 = 186,975.64 : x
  2. Step 2: Convert to fraction form
    546,802.14/820,203.58 = 186,975.64/x
  3. Step 3: Cross multiply
    546,802.14x = 820,203.58 × 186,975.64
  4. Step 4: Simplify right side
    546,802.14x = 153,358,089,300.79
  5. Step 5: Solve for x
    x = 153,358,089,300.79/546,802.14
  6. Step 6: Final answer
    x = 280,463.59

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1.5x scale

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.