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Finding the Fourth Proportional to 562,074.47, 775,681.29 and 307,425.63

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Solution

The fourth proportional to 562,074.47, 775,681.29 and 307,425.63 is: 424,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,074.47 : 775,681.29 = 307,425.63 : x
  2. Step 2: Convert to fraction form
    562,074.47/775,681.29 = 307,425.63/x
  3. Step 3: Cross multiply
    562,074.47x = 775,681.29 × 307,425.63
  4. Step 4: Simplify right side
    562,074.47x = 238,464,309,257.46
  5. Step 5: Solve for x
    x = 238,464,309,257.46/562,074.47
  6. Step 6: Final answer
    x = 424,257.50

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Double scale
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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.