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Finding the Fourth Proportional to 470,252.80, 705,681.60 and 260,041.60

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Solution

The fourth proportional to 470,252.80, 705,681.60 and 260,041.60 is: 390,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,252.80 : 705,681.60 = 260,041.60 : x
  2. Step 2: Convert to fraction form
    470,252.80/705,681.60 = 260,041.60/x
  3. Step 3: Cross multiply
    470,252.80x = 705,681.60 × 260,041.60
  4. Step 4: Simplify right side
    470,252.80x = 183,506,572,354.56
  5. Step 5: Solve for x
    x = 183,506,572,354.56/470,252.80
  6. Step 6: Final answer
    x = 390,229.62

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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.