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Finding the Fourth Proportional to 1,197,835.83, 1,653,036.80 and 653,973.01

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Solution

The fourth proportional to 1,197,835.83, 1,653,036.80 and 653,973.01 is: 902,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,835.83 : 1,653,036.80 = 653,973.01 : x
  2. Step 2: Convert to fraction form
    1,197,835.83/1,653,036.80 = 653,973.01/x
  3. Step 3: Cross multiply
    1,197,835.83x = 1,653,036.80 × 653,973.01
  4. Step 4: Simplify right side
    1,197,835.83x = 1,081,041,444,334.31
  5. Step 5: Solve for x
    x = 1,081,041,444,334.31/1,197,835.83
  6. Step 6: Final answer
    x = 902,495.50

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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.