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Finding the Fourth Proportional to 620,004, 930,014.64 and 176,772

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Solution

The fourth proportional to 620,004, 930,014.64 and 176,772 is: 265,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,004 : 930,014.64 = 176,772 : x
  2. Step 2: Convert to fraction form
    620,004/930,014.64 = 176,772/x
  3. Step 3: Cross multiply
    620,004x = 930,014.64 × 176,772
  4. Step 4: Simplify right side
    620,004x = 164,400,547,942.08
  5. Step 5: Solve for x
    x = 164,400,547,942.08/620,004
  6. Step 6: Final answer
    x = 265,160.46

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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.