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Finding the Fourth Proportional to 417,362.16, 575,875.80 and 264,460.08

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Solution

The fourth proportional to 417,362.16, 575,875.80 and 264,460.08 is: 364,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,362.16 : 575,875.80 = 264,460.08 : x
  2. Step 2: Convert to fraction form
    417,362.16/575,875.80 = 264,460.08/x
  3. Step 3: Cross multiply
    417,362.16x = 575,875.80 × 264,460.08
  4. Step 4: Simplify right side
    417,362.16x = 152,296,160,138.06
  5. Step 5: Solve for x
    x = 152,296,160,138.06/417,362.16
  6. Step 6: Final answer
    x = 364,901.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.