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Finding the Fourth Proportional to 506,402.40, 759,128.40 and 191,071.20

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Solution

The fourth proportional to 506,402.40, 759,128.40 and 191,071.20 is: 286,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,402.40 : 759,128.40 = 191,071.20 : x
  2. Step 2: Convert to fraction form
    506,402.40/759,128.40 = 191,071.20/x
  3. Step 3: Cross multiply
    506,402.40x = 759,128.40 × 191,071.20
  4. Step 4: Simplify right side
    506,402.40x = 145,047,574,342.08
  5. Step 5: Solve for x
    x = 145,047,574,342.08/506,402.40
  6. Step 6: Final answer
    x = 286,427.50

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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.