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Finding the Fourth Proportional to 407,841.60, 611,762.40 and 390,564.30

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Solution

The fourth proportional to 407,841.60, 611,762.40 and 390,564.30 is: 585,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,841.60 : 611,762.40 = 390,564.30 : x
  2. Step 2: Convert to fraction form
    407,841.60/611,762.40 = 390,564.30/x
  3. Step 3: Cross multiply
    407,841.60x = 611,762.40 × 390,564.30
  4. Step 4: Simplify right side
    407,841.60x = 238,932,553,522.32
  5. Step 5: Solve for x
    x = 238,932,553,522.32/407,841.60
  6. Step 6: Final answer
    x = 585,846.45

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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.