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Finding the Fourth Proportional to 685,478.27, 945,825.59 and 430,681.84

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Solution

The fourth proportional to 685,478.27, 945,825.59 and 430,681.84 is: 594,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,478.27 : 945,825.59 = 430,681.84 : x
  2. Step 2: Convert to fraction form
    685,478.27/945,825.59 = 430,681.84/x
  3. Step 3: Cross multiply
    685,478.27x = 945,825.59 × 430,681.84
  4. Step 4: Simplify right side
    685,478.27x = 407,349,898,537.75
  5. Step 5: Solve for x
    x = 407,349,898,537.75/685,478.27
  6. Step 6: Final answer
    x = 594,256.47

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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.