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Finding the Fourth Proportional to 465,053.40, 697,580.10 and 360,077.40

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Solution

The fourth proportional to 465,053.40, 697,580.10 and 360,077.40 is: 540,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,053.40 : 697,580.10 = 360,077.40 : x
  2. Step 2: Convert to fraction form
    465,053.40/697,580.10 = 360,077.40/x
  3. Step 3: Cross multiply
    465,053.40x = 697,580.10 × 360,077.40
  4. Step 4: Simplify right side
    465,053.40x = 251,182,828,699.74
  5. Step 5: Solve for x
    x = 251,182,828,699.74/465,053.40
  6. Step 6: Final answer
    x = 540,116.10

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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.