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Finding the Fourth Proportional to 584,706.32, 807,669.12 and 470,415.52

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Solution

The fourth proportional to 584,706.32, 807,669.12 and 470,415.52 is: 649,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,706.32 : 807,669.12 = 470,415.52 : x
  2. Step 2: Convert to fraction form
    584,706.32/807,669.12 = 470,415.52/x
  3. Step 3: Cross multiply
    584,706.32x = 807,669.12 × 470,415.52
  4. Step 4: Simplify right side
    584,706.32x = 379,940,089,072.74
  5. Step 5: Solve for x
    x = 379,940,089,072.74/584,706.32
  6. Step 6: Final answer
    x = 649,796.45

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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.