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Finding the Fourth Proportional to 468,075.60, 702,186.24 and 152,459.04

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Solution

The fourth proportional to 468,075.60, 702,186.24 and 152,459.04 is: 228,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,075.60 : 702,186.24 = 152,459.04 : x
  2. Step 2: Convert to fraction form
    468,075.60/702,186.24 = 152,459.04/x
  3. Step 3: Cross multiply
    468,075.60x = 702,186.24 × 152,459.04
  4. Step 4: Simplify right side
    468,075.60x = 107,054,640,051.61
  5. Step 5: Solve for x
    x = 107,054,640,051.61/468,075.60
  6. Step 6: Final answer
    x = 228,712.29

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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.