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Finding the Fourth Proportional to 527,030.60, 728,528.00 and 470,232.86

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Solution

The fourth proportional to 527,030.60, 728,528.00 and 470,232.86 is: 650,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,030.60 : 728,528.00 = 470,232.86 : x
  2. Step 2: Convert to fraction form
    527,030.60/728,528.00 = 470,232.86/x
  3. Step 3: Cross multiply
    527,030.60x = 728,528.00 × 470,232.86
  4. Step 4: Simplify right side
    527,030.60x = 342,577,799,036.28
  5. Step 5: Solve for x
    x = 342,577,799,036.28/527,030.60
  6. Step 6: Final answer
    x = 650,015.01

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Why These Related Problems?

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