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Finding the Fourth Proportional to 470,802.40, 705,166.80 and 418,271.20

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Solution

The fourth proportional to 470,802.40, 705,166.80 and 418,271.20 is: 626,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,802.40 : 705,166.80 = 418,271.20 : x
  2. Step 2: Convert to fraction form
    470,802.40/705,166.80 = 418,271.20/x
  3. Step 3: Cross multiply
    470,802.40x = 705,166.80 × 418,271.20
  4. Step 4: Simplify right side
    470,802.40x = 294,950,963,636.16
  5. Step 5: Solve for x
    x = 294,950,963,636.16/470,802.40
  6. Step 6: Final answer
    x = 626,485.68

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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.